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SUMMARY:Duc-Khanh Nguyen (University at Albany)
DTSTART:20230123T130000Z
DTEND:20230123T140000Z
DTSTAMP:20260506T140944Z
UID:paris-algebra-seminar/116
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/paris-algebr
 a-seminar/116/">A generalization of the Murnaghan-Nakayama rule for $K$-$k
 $-Schur and $k$-Schur functions</a>\nby Duc-Khanh Nguyen (University at Al
 bany) as part of Paris algebra seminar\n\n\nAbstract\nWe introduce a gener
 alization of $K$-$k$-Schur functions and k-Schur functions via the Pieri r
 ule. Then we obtain the Murnaghan-Nakayama rule for the generalized functi
 ons. The rule is described explicitly in the cases of $K$-$k$-Schur functi
 ons and $k$-Schur functions\, with concrete descriptions and algorithms fo
 r coefficients. Our work recovers the result of Bandlow\, Schilling\, and 
 Zabrocki for $k$-Schur functions\, and explains it as a degeneration of th
 e rule for $K$-$k$-Schur functions. In particular\, many other special cas
 es promise to be detailed in the future. - This talk will be on Zoom only.
 \n
LOCATION:https://researchseminars.org/talk/paris-algebra-seminar/116/
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