Rinat Kedem's Publications

• E. Ardonne, R. Kedem, Fusion products of Kirillov-Reshetikhin modules and fermionic multiplicity formulas. math.RT/0602177 (to appear in J. Algebra).
  
  
• E. Ardonne, R. Kedem, M. Stone, Fusion products, Kostka polynomials, and fermionic characters of su(r+1)_k. math-ph/0506071. (J. Phys. A: Math. Gen. 38(2005) 9183--9205).
  
  
•  E. Ardonne, R. Kedem, M. Stone, Fermionic characters and arbitrary highest-weight integrable affine sl_r+1 modules (Comm. Math. Phys. 264 (2006) 427--464). math.RT/0504364 [abs, ps, pdf, other].
  


•  E. Ardonne, R. Kedem, M. Stone, Filling the Bose sea:  symmetric quantum Hall edge states and affine characters. J. Phys. A: Math. Gen. 38:617--636,2005. cond-mat/0409369 [abs, ps, pdf, other]
  
  
• R. Kedem, Fusion products of sl_N symmetric power representations and Kostka polynomials (1/2004, Proceedings of QTS3, World Scientific), in PDF format.



• R. Kedem, Fusion products, cohomology of GL(N) flag manifolds, and Kostka polynomials.  IMRN 2004:25 (2004) 1273-1298. PDF file available here.



• B. Feigin, M. Jimbo, R. Kedem, S. Loktev, T. Miwa, Spaces of coinvariants and fusion product II. Affine sl_2 character formulas in terms of Kostka polynomials.  Journal of Algebra, Volume 279, Issue 1 , 1 September 2004, Pages 147-179. math.QA/0208156 [abstract,source, ps]
  
  
• B. Feigin, M. Jimbo, R. Kedem, S. Loktev, T. Miwa, Spaces of coinvariants and fusion product I. From equivalence theorem to Kostka polynomials. Duke Math. J.  125 (2004), no. 3, 549--588. math.QA/0205324 [abstract,source, ps]
  
  
• B. Feigin, R. Kedem, S. Loktev, T. Miwa, E. Mukhin, Combinatorics of the $\widehat{sl}_2$ spaces of coinvariants: Dual functional realization and recursion. Compositio Mathematica 134:193--241, 2002. math.QA/0012190 [abstract,source, ps]
  
  
• B. Feigin, R. Kedem, S. Loktev, T. Miwa, E. Mukhin, Combinatorics of the $\widehat{sl}_2$ spaces of coinvariants: Loop Heisenberg modules and recursion. Selecta Math. 8: 419--474, 2002.
  math.QA/0009198 [abstract,source, ps]
   
• B. Feigin, R. Kedem, S. Loktev, T. Miwa, E. Mukhin, Combinatorics of the $\widehat{sl}_2$ spaces of coinvariants. Transform. Groups 6 (2001), no. 1, 25--52. math-ph/9908003 [abstract,source, ps]
   
• R. Kedem, Singular R-matrices and Drinfeld's comultiplication, Lett. Math. Phys. 41 (1997) 149--160. q-alg/9611001 [abstract,source, ps]
   
• M. Jimbo, R. Kedem, H. Konno, T. Miwa and J. Petersen, Level-0 structure of level-1 $U_q(\widehat{sl}_2)$ modules and Macdonald Polynomials. Phys. Lett. A 28 5589--5606 (1995).

q-alg/9506016 [abstract,source, ps]
 
• M. Jimbo, R. Kedem, H. Konno, T. Miwa and J. Petersen, New level-0 action of $U_q(\widehat{sl}_2)$ on level-1 modules. Proceedings of the 1994 statistical mechanics and quantum field theory workshop, Univ. Southern California. World Scientific, Singapore (1995).

q-alg/9505009 [abstract,source, ps]
 
• M. Jimbo, R. Kedem, H. Konno, T. Miwa, and R.A. Weston, Difference equations in spin chains with a boundary. Nucl. Phys. B. B448 429--456 (1995).

hep-th/9502060 [abstract,source, ps]
 
• M. Jimbo, R. Kedem, T. Kojima, H. Konno and T. Miwa, XXZ chain with a boundary. Nucl. Phys. B441 437--470 (1995).

hep-th/9411112 [abstract,source, ps]
 
• R. Kedem and B. M. McCoy, Quasi-particles in the chiral Potts model. Intl. J. Mod. Phys. B8 3601--3621 (1994).

hep-th/9405089 [abstract,source, ps]
 
• O. Foda, K. Iohara, M. Jimbo, R. Kedem, T. Miwa and H. Yan, Notes on highest weight modules of the elliptic algebra ${\cal A}_{q,p}(\widehat{sl}_2)$, Prog. Theor. Phys. Suppl. 118 1--34 (1995).

hep-th/9405058 [abstract,source, ps]
 
• O. Foda, K. Iohara, M. Jimbo, R. Kedem, T. Miwa and H. Yan, An elliptic quantum algebra for $\widehat{sl}_2$. Lett. Math. Phys. 32 259--268 (1994).

hep-th/9403094 [abstract,source, ps]
 
• S. Dasmahapatra, R. Kedem, B. M. McCoy and E. Melzer, Virasoro characters from Bethe equations for the critical ferromagnetic three-state Potts model. J. Stat. Phys. 74 239 (1994).

hep-th/9304150 [abstract,source, ps]
 
• R. Kedem, B. M. McCoy and E. Melzer, The sums of Rogers, Schur and Ramanujan and the Bose-Fermi correspendence in 1+1-dimensional quantum field theory, in Proceedings of the 1994 statistical mechanics and quantum field theory workshop, Univ. Southern California. World Scientific, Singapore (1995).

hep-th/9304056 [abstract,source, ps]
 
• S. Dasmahapatra, R. Kedem, T. R. Klassen, B. M. McCoy and E. Melzer, Quasi-particles, conformal field theory and $q$-Series. Int. J. Mod. Phys. B 7 3617 (1993).

hep-th/9303013 [abstract,source, ps]
 
• R. Kedem, T. R. Klassen, B. M. McCoy and E. Melzer, Fermionic sum representations for conformal field theory characters. Phys. Lett. B307 68 (1993).

hep-th/9304150 [abstract,source, ps]
 
• R. Kedem, T. R. Klassen, B. M. McCoy and E. Melzer, Fermionic quasi-particle representations for characters of ${(G^{(1)})_1\times (G^{(1)})_1 \over (G^{(1)})_2}$. Phys. Lett. B. 304 263 (1993).

hep-th/9301046 [abstract,source, ps]
 
• R. Kedem and B. M. McCoy, Construction of modular branching functions from Bethe's equations in the 3-State potts chain. J. Stat. Phys. 71 875 (1993).

hep-th/9210129 [abstract,source, ps]
 
• R. Kedem, Thermodynamics of the 3-state Potts spin chain, J. Stat. Phys. 71 903 (1993).

hep-th/9210146 [abstract,source, ps]
 
• S. Dasmahapatra, R. Kedem and B. M. McCoy, Spectrum and completeness of the 3-State superintegrable chiral Potts model, Nucl. Phys. B396 506 (1993).

hep-th/9204003 [abstract,source, ps]