Non-Hausdorff symmetries of C*-algebras
β Scribed by Alcides Buss; Ralf Meyer; Chenchang Zhu
- Publisher
- Springer
- Year
- 2010
- Tongue
- English
- Weight
- 299 KB
- Volume
- 352
- Category
- Article
- ISSN
- 0025-5831
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π SIMILAR VOLUMES
Generalizations of the series exp and log to noncommutative non-associative and other types of algebras were considered by M. Lazard, and recently by V. Drensky and L. Gerritzen. There is a unique power series exp(x) in one non-associative variable x such that exp(x) exp(x) = exp(2x), exp (0) = 1.
Let D(Ξ) be the double Ringel-Hall algebra of a finite dimensional hereditary algebra Ξ. The present paper shows that the BGP-reflection operators of D(Ξ) coincide with Lusztig's symmetries (up to canonical isomorphisms) and satisfy the braid group relations on the whole double Ringel-Hall algebra D