Non symmetric Cauchy kernel, crystals and last passage percolation
Speaker: Olga Azenhas (CMUC, Univ. Coimbra)
We use non-symmetric Cauchy kernel identities to get the law of last passage percolation (LPP) models in terms of Demazure characters (which are non symmetric polynomials) of a gl_n Lie algebra. The construction is based on restrictions of the Robinson-Schensted-Knuth (RSK)...
Blocks of endomorphism algebras of Young permutation modules for Hecke algebras
Speaker: Stephen Donkin (Univ. of York, UK)
We consider a symmetric group acting on a set whose point stabilisers are products of smaller symmetric group (more precisely Young subgroups). The corresponding permutation module is called a Young permutation module. Familiar examples such as group algebras of symmetric groups,...
On pseudo-Euclidean Lie algebras whose Levi-Civita product is left Leibniz
Speaker: Said Benayadi (Univ. of Lorraine, France)
We study a class of Lie algebras which contains the class of quadratic Lie algebras and the class of Milnor Lie algebras, namely, Lie algebras endowed a pseudo-Euclidean metric such its Levi- Civita product is left Leibniz. We call them Levi-Civita left Leibniz Lie algebras LCLL for short....
Speaker: Sophie Marques (Stellenbosch Univ., South Africa)
Speaker: Norihido Yamada (Univ. do Minho)
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