A generalization of the Murnaghan-Nakayama rule for K-k-Schur and k-Schur functions

Location: Teams
Date(s): Thursday 16th February 2023 (14:00-15:00)
Contact: Event Convenor Contact: A.M.Kasprzyk@nottingham.ac.uk
Description: Talk Title: A generalization of the Murnaghan-Nakayama rule for K-k-Schur and k-Schur functions

Speaker's Name: Duc-Khanh Nguyen
Speaker's Affiliation: Albany
Speaker's Research Theme(s): Algebraic Geometry Seminar,
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.

Venue: Teams
Online Conference Link: https://teams.microsoft.com/l/meetup-join/19%3abc0bccd250d74459ac05c0b3e0ff9b76%40thread.tacv2/1675079973121?context=%7b%22Tid%22%3a%2267bda7ee-fd80-41ef-ac91-358418290a1e%22%2c%22Oid%22%3a%222dbd114f-1c6d-4e8b-aab9-fadd00bd8602%22%7d

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