RSOS Models and Jantzen–Seitz Representations of Hecke Algebras at Roots of Unity

[1]  C. Bessenrodt,et al.  Residue Symbols and Jantzen-Seitz Partitions , 1997, J. Comb. Theory, Ser. A.

[2]  J. Thibon,et al.  Combinatorics of solvable lattice models, and modular representations of Hecke algebras , 1997, q-alg/9701021.

[3]  Alain Lascoux,et al.  Hecke algebras at roots of unity and crystal bases of quantum affine algebras , 1996 .

[4]  A. Kleshchev.  Branching Rules for Modular Representations of Symmetric Groups III: Some Corollaries and a Problem of Mullineux , 1996 .

[5]  S. Warnaar,et al.  A proof of polynomial identities of type sl(n̂)1⊗sl(n̂)1/sl(n̂)2 , 1996 .

[6]  S. Ariki.  On the decomposition numbers of the Hecke algebra of $G(m, 1, n)$ , 1996 .

[7]  Eugene Stern.  Semi-Infinite Wedges and Vertex Operators , 1995, q-alg/9504013.

[8]  T. Miwa,et al.  Decomposition ofq-deformed Fock spaces , 1995, q-alg/9508006.

[9]  A. Kleshchev.  On restrictions of Irreducible Modular Representations of Semisimple Algebraic Groups and Symmetric Groups to Some Natural Subgroups, I , 1994 .

[10]  I. Grojnowski.  Representations of affine Hecke algebras (and affine quantum GL n ) at roots of unity , 1994 .

[11]  A. Kleshchev.  On restrictions of irreducible modular representations of semisimple algebraic groups and symmetric groups to some natural subgroups, II , 1994 .

[12]  Masaki Kashiwara,et al.  Global crystal bases of quantum groups , 1993 .

[13]  M. Kashiwara,et al.  On crystal bases of the $Q$-analogue of universal enveloping algebras , 1991 .

[14]  Michio Jimbo,et al.  Combinatorics of representations of $$U_q (\widehat{\mathfrak{s}\mathfrak{l}}(n))$$ atq=0 , 1991 .

[15]  Tetsuji Miwa,et al.  Crystal base for the basic representation of $$U_q (\widehat{\mathfrak{s}\mathfrak{l}}(n))$$ , 1990 .

[16]  Gordon James,et al.  The Decomposition Matrices of GLn(q) for n ≤ 10 , 1990 .

[17]  Takahiro Hayashi,et al.  Q-analogues of Clifford and Weyl algebras-spinor and oscillator representations of quantum enveloping algebras , 1990 .

[18]  Michio Jimbo,et al.  Paths, Maya Diagrams and representations of ŝl (r, C) , 1989 .

[19]  M. Jimbo,et al.  Solvable lattice models whose states are dominant integral weights of Ait−1(1) , 1987 .

[20]  Miwa,et al.  Automorphic properties of local height probabilities for integrable solid-on-solid models. , 1987, Physical review. B, Condensed matter.

[21]  Gordon James,et al.  Representations of Hecke Algebras of General Linear Groups , 1986 .

[22]  George E. Andrews,et al.  Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities , 1984 .

[23]  R. Baxter.  Exactly solved models in statistical mechanics , 1982 .