Combinatorics of Generalized exponents

  • Cédric Lecouvey (Université François Rabelais, Tours)
E1 05 (Leibniz-Saal)


Generalized exponents are important graded multiplicities in representation theory of simple Lie algebras. Notably, they are particular Kazhdan-Lusztig polynomials. In type A, they admit a nice combinatorial description in terms of Lascoux-Schützenberger’s charge statistics on semistandard tableaux. In this talk I will recall their definition and explain how to get similar statistics beyond type A. This will give a combinatorial proof of the positivity of their coefficients but also some other interesting properties. This is a work in collaboration with Cristian Lenart.

Mirke Olschewski

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