Algebra seminar - Pavel Turek
| Dates: | 12 November 2024 |
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| Times: | 14:00 - 15:00 |
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| What is it: | Seminar |
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| Organiser: | Department of Mathematics |
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| Who is it for: | University staff, External researchers, Current University students |
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| Speaker: | Pavel Turek |
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Title: Multiplicity-free induced characters of symmetric groups
Abstract: Let n be a sufficiently large positive integer. A character is multiplicity-free if its irreducible constituents appear with multiplicity one. Wildon in 2009 and independently Godsil and Meagher in 2010 have found all multiplicity-free permutation characters of the symmetric group S_n. In this talk, we focus on a significantly more general problem when the permutation characters are replaced by those induced from an irreducible character for some subgroup.
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Despite the nature of the problem, I explain, combining results from group theory, representation theory and combinatorics, why this problem may be feasible and present a close to full answer. I also mention some of my (often surprising) results to questions about conjugate partitions, which naturally arise when solving the problem, and the remarkable complete classification of subgroups G of S_n, which have an irreducible character which stays multiplicity-free when induced to S_n.
Speaker
Pavel Turek
Organisation: Royal Holloway
Travel and Contact Information
Find event
Frank Adams 1
Alan Turing Building
Manchester
