A generalization of the Murnaghan-Nakayama rule for K-k-Schur and k-Schur functions
Duc-Khanh Nguyen (University at Albany, USA)
20-Mar-2023, 15:00-16:00 (12 months ago)
Abstract: We introduce a generalization of K-k-Schur functions and k-Schur functions via the Pieri rule. Then we obtain the Murnaghan-Nakayama rule for the generalized functions. The rule are described explicitly in the cases of K-k-Schur functions and k-Schur functions, with concrete descriptions and algorithms for coefficients. Our work recovers the result of Bandlow, Schilling, and Zabrocki for k-Schur functions, and explains it as a degeneration of the rule for K-k-Schur functions. In particular, many other special cases promise to be detailed in the future.
quantum algebrarings and algebras
Audience: researchers in the topic
European Non-Associative Algebra Seminar
Organizers: | Ivan Kaygorodov*, Salvatore Siciliano, Mykola Khrypchenko, Jobir Adashev |
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