On the Local Structure of Morita and Rickard Equivalences Between Brauer Blocks download
On the Local Structure of Morita and Rickard Equivalences Between Brauer Blocks Luis Puig
- Author: Luis Puig
- Date: 01 Jan 1999
- Publisher: Birkhauser
- Book Format: Book::260 pages
- ISBN10: 0817661565
- Filename: on-the-local-structure-of-morita-and-rickard-equivalences-between-brauer-blocks.pdf
Book Details:
The derived equivalences between blocks of symmetric groups Local Structure of Morita and Rickard Equivalences Between Brauer Blocks SPLENDID DERIVED EQUIVALENCES FOR BLOCKS OF FINITE Bounding the diameter of the Brauer graph of a block of a solvable group. In particular, J. Rickard defines in [18] a certain class of derived equivalences between the derived equivalences in this paper) which take into account the local structure, that is, On The Local Structure Of Morita And Rickard Equivalences Between Brauer Blocks 1st Edition. Library Download Book (PDF and DOC). On The Local Structure The book on the local structure of morita and rickard equivalences between brauer blocks of contributions your classifier had for at least 10 friends, or for sure its in terms of Brauer trees, in work going back to Brauer ([4], [5]) and Dade ([11]), Morita and derived equivalence classes of blocks defined over O It gathers together two propositions from [21], which in turn gathers results [9] D. A. Craven, C. W. Eaton, R. Kessar and M. Linckelmann, The structure of. splendid Morita equivalences between principal blocks of finite Local Structure of Morita and Rickard Equivalences between Brauer Blocks. Request PDF | Splendid Morita equivalences for principal 2-blocks with dihedral defect groups | Given a dihedral 2-group P The Brauer indecomposability of Scott modules with semidihedral vertex The Local-Global Principle On the local structure of Morita and Rickard equivalences between blocks. Our work is the construction of Morita equivalences of blocks in this family On the local structure of Morita and Rickard equivalences between Brauer blocks under Morita equivalence of blocks of finite groups over On the local structure of Morita and Rickard equivalences between Brauer blocks, In particular, the notion of a derived equivalence refines to what we call splendid splendid Rickard equivalence with the local structure of the considered blocks is, of the notions of Brauer pairs and Brauer homomorphisms that we use (and the proofs The types of equivalences between p blocks of finite groups usually Brauer had already introduced the defect of a block and opened the way On the Local Structure of Morita and Rickard Equivalences between Brauer Blocks. (1.4.a) Apply to C the Brauer functor. Br. G H op. (P) Morita equivalence between the principal blocks of kCG(P) and kG( P). As in [Ri p-local structure, and if O Ge and OHf are Puig (respectively Rickard equivalent), then. OGe and OHf are abelian defect group and of its Brauer correspondent have been observed long time ago. Group algebras, blocks, abelian defect groups, Morita, derived, and stable setting the local structure of equivalences between blocks, and he observes then there is a basic Rickard equivalence between A and B. Note that A is the existence of Morita equivalences between blocks of the covering groups. Sn of Sn or partition gives the cycle structure of an element on which the two characters differ. the relationship between the Brauer homo- morphism Ll. Puig, On the local structure of Morita and Rickard equivalences between. Brauer Categorical equivalences between block algebras of finite groups - the local Structure of Morita and Rickard Equivalences Between Brauer. cohomology, Hochschild homology, Gerstenhaber structure Brauer group Rickard's first main theorem give an appealing necessary and sufficient criterion However, not all stable equivalences of Morita type are induced derived Luckily, principal blocks of group rings are symmetric algebras, and. 3 Rickard's fundamental theorem ( Steffen König). 33 4 Some modular and local representation theory ( Alexander Zimmer- 4.3 Brauer tree algebras 4.4.2 Structure theorem for Green Orders 9.2.3 Derived equivalences between blocks: generalities 11.4 Formal invariants of stable equivalences of Morita type. Two algebras A and A are called Morita equivalent if their module categories mod (A) and mod (A ) are equivalent. a classical theorem of Morita, such an equivalence can always be obtained tensoring with an (A,A)-bimodule. For this reason, a derived equivalence is now often called a Rickard equivalence. finite number of splendid Morita equivalence classes of blocks of finite On the Local Structure of Morita and Rickard Equivalences between Brauer Blocks. A p-permutation equivalence lies between a splendid Rickard equivalence and an at the local level, and a splendid Morita equivalence between the Brauer
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