Canonical Basis for Type B 2

J an 2 00 2 Dual Standard Monomial Theoretic Basis and Canonical Basis for Type A

Let U − q (g) be the negative part of the quantized universal enveloping algebra constructed from a Cartan matrix associated to a complex semisimple Lie algebra g. Let λ be a dominant integral weight and V (λ) the irreducible U − q (g)-module with highest weight λ. There is on the one hand the canonical basis for U − q (g) [4, 12, 13] and on the other the standard monomial theoretic basis for t...

A canonical basis for Garsia-Procesi modules

We identify a subalgebra Ĥ + n of the extended affine Hecke algebra Ĥn of type A. The subalgebra Ĥ + n is a u-analogue of the monoid algebra of Sn n Z≥0 and inherits a canonical basis from that of Ĥn. We show that its left cells are naturally labeled by tableaux filled with positive integer entries having distinct residues mod n, which we term positive affine tableaux (PAT). We then exhibit a c...

P. Multocida Type B:2 Isolated from Poultry in Iran

P. multocida Type B:2 Isolated from Poultry in Iran

Quantum Supergroups Ii. Canonical Basis

Following Kashiwara’s algebraic approach, we construct crystal bases and canonical bases for quantum supergroups of anisotropic type and for their integrable modules.