Rinat Kedem

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Research Output

2019
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

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

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

2014

Fermionic spectra in integrable models

Kedem, R., 2014, Proceedings of the International Congress of Mathematicians---Seoul 2014. Vol. III. Kyung Moon Sa, Seoul, p. 1141-1158 18 p.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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

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

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

2011

A pentagon of identities, graded tensor products, and the Kirillov-Reshetikhin conjecture

Kedem, R., 2011, New trends in quantum integrable systems. World Sci. Publ., Hackensack, NJ, p. 173-193 21 p.

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

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

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

2009

Discrete non-commutative integrability the proof of a conjecture by M. Kontsevich

Kedem, R., 2009, Oberwolfach, Walke: MFO.

Research output: Book/ReportBook

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

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

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

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

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

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

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

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., Jan 1 2004, In : International Mathematics Research Notices. 25, p. 1273-1298 26 p.

Research output: Contribution to journalArticle

Fusion products of $sl_N$ symmetric power representations and Kostka polynomials

Kedem, R., 2004, Quantum theory and symmetries. World Sci. Publ., Hackensack, NJ, p. 88-93 6 p.

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

Spaces of coinvariants and fusion product, I: From equivalence theorem to kostka polynomials

Feigin, B., Jimbo, M., Kedem, R., Loktev, S. & Miwa, T., Dec 1 2004, In : Duke Mathematical Journal. 125, 3, p. 549-588 40 p.

Research output: Contribution to journalReview article

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

2002

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 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

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

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

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

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

New level-$0$ action of $U_q(germ sgerm l_2)$ on level-$1$ modules

Jimbo, M., Kedem, R., Konno, H., Miwa, T. & Petersen, J-U. H., 1995, Recent progress in statistical mechanics and quantum field theory (Los Angeles, CA, 1994). World Sci. Publ., River Edge, NJ, p. 169-193 25 p.

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

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

The sums of Rogers, Schur and Ramanujan and the Bose-Fermi correspondence in $(1+1)$-dimensional quantum field theory

Kedem, R., McCoy, B. M. & Melzer, E., 1995, Recent progress in statistical mechanics and quantum field theory (Los Angeles, CA, 1994). World Sci. Publ., River Edge, NJ, p. 195-219 25 p.

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

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

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

Quasi-particles in the chiral Potts model

Kedem, R. & McCoy, B. M., 1994, Perspectives on solvable models. World Sci. Publ., River Edge, NJ, p. 153-173 21 p.

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

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

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

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

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

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

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