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DTSTART:20070311T020000
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DTSTAMP:20260921T113940
DTSTART;TZID=America/Detroit:20260923T143000
DTEND;TZID=America/Detroit:20260923T153000
SUMMARY:Workshop / Seminar:Learning Seminar in Algebraic Combinatorics
DESCRIPTION:The fermionic Fock space is the semi-infinite wedge of a countably infinite dimensional vector space\, with a basis indexed by pairs of a partition and an integer. We explain how the 𝔤𝔩(∞)-action decomposes the Fock space into irreps\, using a basis of 𝔤𝔩(∞) built from composing exterior multiplication with contraction. We then introduce operators as infinite sums of the 𝔤𝔩(∞) operators\, whose action on each irrep can be used to identify it with the ring of symmetric functions. Along the way\, we reprove the skew Jacobi-Trudi identity. No physics background assumed.
UID:152485-21913804@events.umich.edu
URL:https://events.umich.edu/event/152485
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Mathematics
LOCATION:East Hall - 4088
CONTACT:
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