Rinat Kedem

1993 …2019
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Research Output 1993 2019

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Article
2019
Quantum Algebra
algebra
operators
Algebra
Affine Hecke Algebra
2018

DIFFERENCE EQUATIONS FOR GRADED CHARACTERS FROM QUANTUM CLUSTER ALGEBRA

Di Francesco, P. & Kedem, R., Jun 1 2018, In : Transformation Groups. 23, 2, p. 391-424 34 p.

Research output: Contribution to journalArticle

Cluster Algebra
Quantum Algebra
Difference equation
Conserved Quantity
Module
2017

A path model for Whittaker vectors

Di Francesco, P., Kedem, R. & Turmunkh, B., 2017, In : Journal of Physics A: Mathematical and Theoretical. 50, 25, p. 255201, 35

Research output: Contribution to journalArticle

Quantum Q systems: from cluster algebras to quantum current algebras

Di Francesco, P. & Kedem, R., Feb 1 2017, In : Letters in Mathematical Physics. 107, 2, p. 301-341 41 p.

Research output: Contribution to journalArticle

Current Algebra
Cluster Algebra
current algebra
Quantum Algebra
algebra
2015

T-systems and the pentagram map

Kedem, R. & Vichitkunakorn, P., Jan 1 2015, In : Journal of Geometry and Physics. 87, p. 233-247 15 p.

Research output: Contribution to journalArticle

Pentagram
Octahedron
Integrable Systems
Discrete Systems
Generalization
2014

Quantum cluster algebras and fusion products

Di Francesco, P. & Kedem, R., 2014, In : International Mathematics Research Notices. 2014, 10, p. 2593-2642 50 p.

Research output: Contribution to journalArticle

Cluster Algebra
Quantum Algebra
Fusion
Quantum Affine Algebra
Recursion Relations
2013

T-systems with boundaries from network solutions

Di Francesco, P. & Kedem, R., Jan 7 2013, In : Electronic Journal of Combinatorics. 20, 1

Research output: Contribution to journalArticle

Algebra
Boundary conditions
Pentagram
Octahedron
Cluster Algebra
2012

The Solution of the Quantum A 1 T-System for Arbitrary Boundary

Di Francesco, P. & Kedem, R., Jul 1 2012, In : Communications in Mathematical Physics. 313, 2, p. 329-350 22 p.

Research output: Contribution to journalArticle

Liouville equations
Arbitrary
mutations
algebra
Cluster Algebra
2011

Non-commutative integrability, paths and quasi-determinants

Di Francesco, P. & Kedem, R., Sep 10 2011, In : Advances in Mathematics. 228, 1, p. 97-152 56 p.

Research output: Contribution to journalArticle

Integrability
Determinant
Path
Cluster Algebra
Discrete Equations
2010

Discrete non-commutative integrability: Proof of a conjecture by M. Kontsevich

Di Francesco, P. & Kedem, R., Nov 11 2010, In : International Mathematics Research Notices. 2010, 21, p. 4042-4063 22 p.

Research output: Contribution to journalArticle

Integrability
Positive Polynomials
Cluster Algebra
Laurent Polynomials
Recursion Relations
Total Positivity
Cluster Algebra
Totally Positive Matrices
Path
Weighted Graph
2009

Positivity of the $T$-system cluster algebra

Di Francesco, P. & Kedem, R., 2009, In : Electronic Journal of Combinatorics. 16, 1, p. Research Paper 140, 39

Research output: Contribution to journalArticle

Q-Systems, heaps, paths and cluster positivity

Di Francesco, P. & Kedem, R., Dec 1 2009, In : Communications in Mathematical Physics. 293, 3, p. 727-802 76 p.

Research output: Contribution to journalArticle

Heap
Positivity
Partition Function
partitions
Path
Cartan Matrix
Cluster Algebra
Finite Type
polynomials
algebra
2008

Proof of the combinatorial kirillov-Reshetikhin conjecture

Francesco, P. D. & Kedem, R., Dec 1 2008, In : International Mathematics Research Notices. 2008, 1, rnn006.

Research output: Contribution to journalArticle

Tensor Product
Multiplicity
Simple Lie Algebra
Summation
Generating Function

Q-systems as cluster algebras

Kedem, R., May 16 2008, In : Journal of Physics A: Mathematical and Theoretical. 41, 19, 194011.

Research output: Contribution to journalArticle

Cluster Algebra
Algebra
algebra
Polynomiality
Kac-Moody Algebras
2007

Fusion products of Kirillov-Reshetikhin modules and fermionic multiplicity formulas

Ardonne, E. & Kedem, R., Feb 1 2007, In : Journal of Algebra. 308, 1, p. 270-294 25 p.

Research output: Contribution to journalArticle

Multiplicity
Fusion
Module
Simple Lie Algebra
Generalized Polynomials
2006

Fermionic characters and arbitrary highest-weight integrable sl̂r+1-modules

Ardonne, E., Kedem, R. & Stone, M., Jun 1 2006, In : Communications in Mathematical Physics. 264, 2, p. 427-464 38 p.

Research output: Contribution to journalArticle

modules
Module
Arbitrary
Fusion
products
2005

Filling the Bose sea: Symmetric quantum Hall edge states and affine characters

Ardonne, E., Kedem, R. & Stone, M., Jan 21 2005, In : Journal of Physics A: Mathematical and General. 38, 3, p. 617-636 20 p.

Research output: Contribution to journalArticle

Bosons
Droplet
Algebra
Current Algebra
Affine Lie Algebras

Fusion products, Kostka polynomials and fermionic characters of sû(r+1)k

Ardonne, E., Kedem, R. & Stone, M., Oct 21 2005, In : Journal of Physics A: Mathematical and General. 38, 42, p. 9183-9205 23 p.

Research output: Contribution to journalArticle

Fusion
polynomials
Fusion reactions
fusion
Polynomials
2004

Fusion products, cohomology of $rm GL_N$ flag manifolds, and Kostka polynomials

Kedem, R., 2004, In : International Mathematics Research Notices. 25, p. 1273-1298 26 p.

Research output: Contribution to journalArticle

Fusion products, cohomology of GLn flag manifolds, and Kostka polynomials

Kedem, R., 2004, In : International Mathematics Research Notices. 25, p. 1273-1298 26 p.

Research output: Contribution to journalArticle

Flag Manifold
Cohomology
Fusion
Polynomial

Spaces of coinvariants and fusion product II. sl2 character formulas in terms of Kostka polynomials

Feigin, B., Jimbo, M., Kedem, R., Loktev, S. & Miwa, T., Sep 1 2004, In : Journal of Algebra. 279, 1, p. 147-179 33 p.

Research output: Contribution to journalArticle

Hilbert Polynomial
Character Formula
Fusion
Polynomial
Sum formula
2002

Combinatorics of the $germ sgerm l_2$ spaces of coinvariants: loop Heisenberg modules and recursion

Feigin, B., Kedem, R., Loktev, S., Miwa, T. & Mukhin, E., 2002, In : Selecta Mathematica, New Series. 8, 3, p. 419-474 56 p.

Research output: Contribution to journalArticle

Combinatorics of the s-fractur sign and l-fractur sign2 spaces of coinvariants: Loop Heisenberg modules and recursion

Feigin, B., Kedem, R., Loktev, S., Miwa, T. & Mukhin, E., Jan 1 2002, In : Selecta Mathematica, New Series. 8, 3, p. 419-474 56 p.

Research output: Contribution to journalArticle

Combinatorics
Recursion
modules
Module
Monomial

Combinatorics of the s-fraktur sign l-fraktur sign2 Coinvariants: Dual functional realization and recursion

Feigin, B., Kedem, R., Loktev, S., Miwa, T. & Mukhin, E., Dec 1 2002, In : Compositio Mathematica. 134, 2, p. 193-241 49 p.

Research output: Contribution to journalArticle

Dual space
Combinatorics
Recursion
Partition
Character Formula
2001

Combinatorics of the s-fraktur signl-fraktur sign2 spaces of coinvariants

Feigin, B., Loktev, S., Kedem, R., Miwa, T. & Mukhin, E., Mar 1 2001, In : Transformation Groups. 6, 1, p. 25-52 28 p.

Research output: Contribution to journalArticle

Combinatorics
Monomial
Recursion Relations
Explicit Formula
Quotient
1997

Singular R-Matrices and Drinfeld's Comultiplication

Kedem, R., Jul 2 1997, In : Letters in Mathematical Physics. 41, 2, p. 149-160 12 p.

Research output: Contribution to journalArticle

R-matrix
algebra
Highest Weight Representations
Algebra
Hopf Algebra
1995

Difference equations in spin chains with a boundary

Jimbo, M., Kedem, R., Konno, H., Miwa, T. & Weston, R., Aug 21 1995, In : Nuclear Physics, Section B. 448, 3, p. 429-456 28 p.

Research output: Contribution to journalArticle

difference equations
apexes
form factors
axioms
boundary conditions

Level-$0$ structure of level-$1$ $U_q(rm sl_2)$-modules and Macdonald polynomials

Jimbo, M., Kedem, R., Konno, H., Miwa, T. & Petersen, J-U. H., 1995, In : Journal of Physics A: General Physics. 28, 19, p. 5589-5606 18 p.

Research output: Contribution to journalArticle

Level-0 structure of level-1 Uq(sl2)-modules and Macdonald polynomials

Jimbo, M., Kedem, R., Konno, H., Miwa, T. & Petersen, J. U. H., Dec 1 1995, In : Journal of Physics A: Mathematical and General. 28, 19, p. 5589-5606 18 p., 014.

Research output: Contribution to journalArticle

Macdonald Polynomials
Algebra
polynomials
modules
Polynomials

Notes on highest weight modules of the elliptic algebra $scr A_q,p(rm sl_2)$

Foda, O., Iohara, K., Jimbo, M., Kedem, R., Miwa, T. & Yan, H., 1995, In : Progress of Theoretical Physics Supplement. 118, p. 1-34 34 p.

Research output: Contribution to journalArticle

XXZ chain with a boundary

Jimbo, M., Kedem, R., Kojima, T., Konno, H. & Miwa, T., May 15 1995, In : Nuclear Physics, Section B. 441, 3, p. 437-470 34 p.

Research output: Contribution to journalArticle

vacuum
apexes
operators
hysteresis
magnetization
1994

An elliptic quantum algebra for {Mathematical expression}2 - Dedicated to the memory of Ansgar Schnizer

Foda, O., Iohara, K., Jimbo, M., Kedem, R., Miwa, T. & Yan, H., Nov 1 1994, In : Letters in Mathematical Physics. 32, 3, p. 259-268 10 p.

Research output: Contribution to journalArticle

Quantum Algebra
algebra
apexes
Vertex Operators
Algebra

Virasoro characters from bethe equations for the critical ferromagnetic three-state potts model

Dasmahapatra, S., Kedem, R., McCoy, B. M. & Melzer, E., Jan 1 1994, In : Journal of Statistical Physics. 74, 1-2, p. 239-274 36 p.

Research output: Contribution to journalArticle

Quasiparticles
Conformal Field Theory
Potts Model
Excitation
Character Formula
1993

Construction of modular branching functions from Bethe's equations in the 3-state Potts chain

Kedem, R. & McCoy, B. M., Jun 1 1993, In : Journal of Statistical Physics. 71, 5-6, p. 865-901 37 p.

Research output: Contribution to journalArticle

Branching
completeness
Partition Function
complement
Field Theory

Fermionic quasi-particle representations for characters of (G(1))1 × (G(1))1 (G(1))2

Kedem, R., Klassen, T. R., McCoy, B. M. & Melzer, E., Apr 29 1993, In : Physics Letters B. 304, 3-4, p. 263-270 8 p.

Research output: Contribution to journalArticle

elementary excitations
Ising model
partitions
algebra
sectors

Fermionic sum representations for conformal field theory characters

Kedem, R., Klassen, T. R., McCoy, B. M. & Melzer, E., Jun 10 1993, In : Physics Letters B. 307, 1-2, p. 68-76 9 p.

Research output: Contribution to journalArticle

thermodynamics

Spectrum and completeness of the three-state superintegrable chiral Potts model

Dasmahapatra, S., Kedem, R. & McCoy, B. M., May 17 1993, In : Nuclear Physics, Section B. 396, 2-3, p. 506-540 35 p.

Research output: Contribution to journalArticle

completeness
counting
energy levels
momentum
anisotropy

Thermodynamics of the 3-state Potts Spin chain

Kedem, R., Jun 1 1993, In : Journal of Statistical Physics. 71, 5-6, p. 903-921 19 p.

Research output: Contribution to journalArticle

Spin Chains
Conformal Field Theory
Specific Heat
Finite Temperature
Free Energy