Affordable Access

deepdyve-link deepdyve-link
Publisher Website

Hecke algebras as subalgebras of Clifford geometric algebras of multivectors

Authors
  • Fauser, Bertfried
Type
Published Article
Publication Date
Oct 16, 1997
Submission Date
Oct 16, 1997
Identifiers
DOI: 10.1088/0305-4470/32/10/010
arXiv ID: q-alg/9710020
Source
arXiv
License
Unknown
External links

Abstract

Clifford geometric algebras of multivectors are introduced which exhibit a bilinear form which is not necessarily symmetric. Looking at a subset of bi-vectors in CL(K^{2n},B), we proof that theses elements generate the Hecke algebra H_{K}(n+1,q) if the bilinear form B is chosen appropriately. This shows, that q-quantization can be generated by Clifford multivector objects which describe usually composite entities. This contrasts current approaches which give deformed versions of Clifford algebras by deforming the one-vector variables. Our example shows, that it is not evident from a mathematical point of view, that q-deformation is in any sense more elementary than the undeformed structure.

Report this publication

Statistics

Seen <100 times