Background and Examples Small algebras Structure Semisimple algebras in tensor categories Noah Snyder

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Hand-in Assignment 1 Milan Lopuha¨a To be handed in October 11th , 2016 All vector spaces are over C and finite-dimensional. 1. Let V be a semisimple representation of a group G. (a) Show that every quotient representat

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Problems for Representations of Linear Algebraic Groups Milan Lopuha¨a November 22nd , 2016 L 1. Let g be a semisimple Lie algebra. Let h be a toral subalgebra, and let g = α∈h∗ gα

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ON THE REGULARITY OF STATIONARY MEASURES YVES BENOIST AND JEAN-FRANC ¸ OIS QUINT Abstract. Extending a construction of Bourgain for SL(2,R), we construct on any semisimple real Lie group G a symmetric probability measur

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´ Publications of Pha.m Ngo.c Anh 1. Die additive Struktur der im engeren Sinne linear kompakter Ringe, Studia Sci. Math. Hungar), 205–On semisimple classes of topological rings, Annales Univ. Sci. B

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Semisimple algebras of almost minimal rank over the reals Markus Bl¨ asera,∗ , Andreas Meyer de Voltaireb a Computer

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EXISTENCE AND WEYL’S LAW FOR SPHERICAL CUSP FORMS ELON LINDENSTRAUSS AND AKSHAY VENKATESH Abstract. Let G be a split adjoint semisimple group over Q and K∞ ⊂ G(R) a maximal compact subgroup. We shall give a uniform

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POISSON STRUCTURES ON MODULI SPACES OF REPRESENTATIONS WILLIAM CRAWLEY-BOEVEY Abstract. We show that a Poisson structure can be induced on the affine moduli space of (semisimple) representations of an associative algebra

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A Characterization of Semisimple Plane Polynomial Automorphisms. Jean-Philippe FURTER, Dpt. of Math., Univ. of La Rochelle, av. M. Crépeau, La Rochelle, FRANCE email:

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• Algebra
• Mathematics
• Abstract algebra
• Lie groups
• Polynomials
• Unitary group
• Ring
• Automorphism
• Diagonalizable matrix
• Degree of a continuous mapping
• Factorization of polynomials over finite fields
• Finite field

85 Documenta Math. Stably Cayley Semisimple Groups Mikhail Borovoi and Boris Kunyavski˘ı

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• Algebra
• Abstract algebra
• Geometry
• Lie groups
• Lattice
• Mutation
• Permutation group
• Weight