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On the Intrinsic Group of a Kac Algebra
Author(s) -
de Canniére Jean
Publication year - 1980
Publication title -
proceedings of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.899
H-Index - 65
eISSN - 1460-244X
pISSN - 0024-6115
DOI - 10.1112/plms/s3-40.1.1
Subject(s) - mathematics , homomorphism , group (periodic table) , set (abstract data type) , automorphism , algebra over a field , group algebra , algebra homomorphism , pure mathematics , combinatorics , physics , computer science , quantum mechanics , programming language
We show that the intrinsic group G ( K ) of a Kac algebra K can be identified with a particular group of automorphisms of the dual Kac algebraK ⌢ . This enables us to determine the intrinsic group in a few examples, and also to prove that the intrinsic elements do not form a complete set of invariants of a Kac algebra. Finally, we exhibit and study a homomorphism from G ( K ) into the positive real numbers.