Combinatorial Representation Theory and Crystal Bases

Seok-Jin Kang ()
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Seok-Jin Kang: Korea Institute for Advanced Study, School of Mathematics

A chapter in Proceedings of the Third International Algebra Conference, 2003, pp 39-51 from Springer

Abstract: Abstract Let F be a field and A be an associative algebra over F. For instance, we may take A to be the group algebra F[G] of a group G or the universal enveloping algebra U(g) of a Lie algebra g. Let V be an F-vector space. By a representation of A on V, we mean an algebra homomorphism ø: A → End(V). In this case, V becomes an A-module with the A-action given by % MathType!MTEF!2!1!+- % feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamyyaiabgw % Sixlabe27aUjabg2da9iabew9aMjaacIcacaWGHbGaaiykaiaacIca % cqaH9oGBcaGGPaacbaGaa8hiaiaa-zgacaWFVbGaa8NCaiaa-bcaca % WFHbGaa8hBaiaa-XgacaWFGaGaamyyaiabgIGiolaadgeacaGGSaGa % eqyVd4MaeyicI4SaamOvaiaac6caaaa!5315! ]]

Date: 2003
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DOI: 10.1007/978-94-017-0337-6_4

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