Fermionic Formulas for Eigenfunctions of the Difference Toda Hamiltonian

[1]  A. Gerasimov,et al.  On q-Deformed $${\mathfrak{gl}_{\ell+1}}$$ -Whittaker Function I , 2008, 0803.0970.

[2]  M. Jimbo,et al.  Principal $\hat{sl}(3)$ subspaces and quantum Toda Hamiltonian , 2007, 0707.1635.

[3]  A. Veselov,et al.  Combinatorial Aspect Of Integrable Systems , 2007 .

[4]  I. Heckenberger,et al.  On the Bernstein-Gelfand-Gelfand Resolution for Kac-Moody Algebras and Quantized Enveloping Algebras , 2006, math/0605460.

[5]  A. Schilling Part 4. $X=M$ Theorem: Fermionic Formulas and Rigged Configurations under Review , 2005, math/0512161.

[6]  A. Schilling,et al.  New fermionic formula for unrestricted Kostka polynomials , 2005, J. Comb. Theory, Ser. A.

[7]  M. Finkelberg,et al.  Finite difference quantum Toda lattice via equivariant K-theory , 2005, math/0503456.

[8]  J. Hurtubise,et al.  Algebraic Structures and Moduli Spaces: CRM Workshop, July 14–20, 2003, Montréal, Canada , 2004 .

[9]  A. Braverman Instanton counting via affine Lie algebras I: Equivariant J-functions of (affine) flag manifolds and Whittaker vectors , 2004, math/0401409.

[10]  M. Jimbo,et al.  Fermionic Formulas for (k , 3)-admissible Configurations , 2002, math/0212347.

[11]  Shrawan Kumar,et al.  Kac-Moody Groups, their Flag Varieties and Representation Theory , 2002 .

[12]  A. Givental,et al.  Quantum K-theory on flag manifolds, finite-difference Toda lattices and quantum groups , 2001, math/0108105.

[13]  Masato Okado,et al.  Paths, crystals and fermionic formulae , 2001 .

[14]  A. Schilling,et al.  Fermionic Formulas for Level-Restricted Generalized Kostka Polynomials and Coset Branching Functions , 2000, math/0001114.

[15]  A. Sevostyanov Quantum deformation of Whittaker modules and the Toda lattice , 1999, math/9905128.

[16]  P. Etingof Whittaker functions on quantum groups and q-deformed Toda operators , 1999, math/9901053.

[17]  B. McCoy,et al.  Continued fractions and fermionic representations for characters of M(p,p′) minimal models , 1994, hep-th/9412030.

[18]  F. Malikov Quantum Groups: Singular Vectors and BGG Resolution , 1992 .

[19]  V. Tolstoy,et al.  UniversalR-matrix for quantized (super)algebras , 1991 .

[20]  V. Tolstoi COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY: Extremal projections for contragredient Lie algebras and superalgebras of finite growth , 1989 .

[21]  Leon A. Takhtajan,et al.  Quantization of Lie Groups and Lie Algebras , 1987 .

[22]  D. P. Zhelobenko Extremal cocycles of weyl groups , 1987 .

[23]  M. Jimbo,et al.  Principal $\widehat{\mathfrak{sl}_3}$ subspaces and quantum Toda Hamiltonian , 2009 .

[24]  M. Rosso An Analogue of B.G.G. Resolution for the Quantum SL(N)-Group , 1991 .