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
*contact for this listing

Export talk to