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Title: | Traces on multiplier Hopf algebras | Authors: | DELVAUX, Lydia | Issue Date: | 2010 | Publisher: | TAYLOR & FRANCIS INC | Source: | COMMUNICATIONS IN ALGEBRA, 38(1). p. 346-360 | Abstract: | In this article we lay the algebraic foundations to establish the existence of trace functions on infinite-dimensional (multiplier) Hopf algebras. We solve the problem within the framework of multiplier Hopf algebra with integrals. By applying this theory to group-cograded multiplier Hopf algebras, we prove the existence of group-traces on group-cograded multiplier Hopf algebras with possibly infinite-dimensional components. We generalize the results as obtained by Virelizier in the case of finite-type Hopf group-coalgebras. | Notes: | Univ Hasselt, Dept Math, B-3590 Diepenbeek, Belgium. | Keywords: | Hopf algebras; Multiplier; Traces | Document URI: | http://hdl.handle.net/1942/10458 | ISSN: | 0092-7872 | e-ISSN: | 1532-4125 | DOI: | 10.1080/00927870802570727 | ISI #: | 000273647400024 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2011 |
Appears in Collections: | Research publications |
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TracesMultiplierHopfAlgebras3.pdf | 217.26 kB | Adobe PDF | View/Open |
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