Representation Theory.

Intro -- Contents -- Preface -- List of Talks -- List of Participants -- Sum formulas and Ext-groups -- Schur-Weyl duality in positive characteristic -- The centers of Iwahori-Hecke algebras are filtered -- On Kostant's theorem for Lie algebra cohomology -- G-stable pieces and partial flag varieties -- Steinberg representations and duality properties of arithmetic groups, mapping class groups, and outer automorphism groups of free groups -- 1. Introduction -- 2. Poincaré duality of closed manifolds and generalizations -- 3. Homology and cohomology of groups -- 4. Duality groups, Poincaré duality groups -- 5. Algebraic groups, Tits building, Steinberg representations, arithmetic subgroups -- 6. Borel-Serre compactification and duality properties of arithmetic subgroups -- 7. Mapping class groups and Teichmüller spaces -- 8. Curve complex, duality properties of mapping class groups -- 9. Outer automorphism groups of free groups, outer space -- 10. Duality properties of outer automorphism groups -- 11. Comments and conjectures -- References -- Characters of simplylaced nonconnected groups versus characters of nonsimplylaced connected groups -- Classification of finite-dimensional basic Hopf algebras according to their representation type -- 1. Introduction -- 2. Representation type of basic Hopf algebras -- 3. Classification of basic Hopf algebras of finite representation type -- 4. Classification of basic Hopf algebras of tame type -- Acknowledgement -- References -- Twelve bridges from a reductive group to its Langlands dual -- Some new highest weight categories -- Classification of quasi-trigonometric solutions of the classical Yang-Baxter equation -- The relevance and the ubiquity of Prüfer modules -- Quivers and the euclidean group -- eu2-Lie admissible algebras and Steinberg unitary Lie algebras.

Lusztig's conjecture for finite classical groups with even characteristic -- A survey on quasifinite representations of Weyl type Lie algebras -- Maximal and primitive elements in baby Verma modules for type B2 -- Irreducible representations of the special algebras in prime characteristic.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.