Automorphism group

Xem 1-20 trên 21 kết quả Automorphism group
  • We show that if a field k contains sufficiently many elements (for instance, if k is infinite), and K is an algebraically closed field containing k, then every linear algebraic k-group over K is k-isomorphic to Aut(A ⊗k K), where A is a finite dimensional simple algebra over k. 1. Introduction In this paper, ‘algebra’ over a field means ‘nonassociative algebra’, i.e., a vector space A over this field with multiplication given by a linear map A ⊗ A → A, a1 ⊗ a2 → a1 a2 , subject to no a priori conditions; cf. ...

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  • Let N be a nilpotent group normal in a group G. Suppose that G acts transitively upon the points of a nite non-Desarguesian projective plane P. We prove that, if P has square order, then N must act semi-regularly on P. In addition we prove that if a nite non-Desarguesian projective plane P admits more than one nilpotent group which is regular on the points of P then P has non-square order and the automorphism group of P has odd order.

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  • Tuyển tập các báo cáo nghiên cứu khoa học về toán học trên tạp chí toán học quốc tế đề tài: Automorphism groups of wreath product digraphs...

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  • Tuyển tập các báo cáo nghiên cứu khoa học về toán học trên tạp chí toán học quốc tế đề tài: On an identity for the cycle indices of rooted tree automorphism groups...

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  • Tuyển tập các báo cáo nghiên cứu khoa học ngành toán học tạp chí Department of Mathematic dành cho các bạn yêu thích môn toán học đề tài:Automorphism groups of a graph and a vertex-deleted subgraph...

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  • Tuyển tập các báo cáo nghiên cứu khoa học ngành toán học tạp chí toán học quốc tế đề tài: Line-transitive Automorphism Groups of Linear Spaces1...

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  • Tuyển tập các báo cáo nghiên cứu khoa học ngành toán học tạp chí toán học quốc tế đề tài: On STD6[18, 3]’s and STD7[21, 3]’s admitting a semiregular automorphism group of order 9...

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  • Tuyển tập các báo cáo nghiên cứu khoa học ngành toán học tạp chí toán học quốc tế đề tài: Automorphism groups of Cayley digraphs of Z3 p...

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  • Tuyển tập các báo cáo nghiên cứu khoa học ngành toán học tạp chí Department of Mathematic dành cho các bạn yêu thích môn toán học đề tài: On the automorphism group of integral circulant graphs...

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  • We prove two results. (1) There is an absolute constant D such that for any finite quasisimple group S, given 2D arbitrary automorphisms of S, every element of S is equal to a product of D ‘twisted commutators’ defined by the given automorphisms. (2) Given a natural number q, there exist C = C(q) and M = M (q) such that: if S is a finite quasisimple group with |S/Z(S)| C, βj (j = 1, . . . , M ) are any automorphisms of S, and qj (j = 1, . . . , M ) are...

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  • Tuyển tập các báo cáo nghiên cứu khoa học ngành toán học tạp chí Journal of Operator Theory đề tài:Hầu hết thống nhất liên tục automorphism nhóm đại số nhà điều hành...

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  • Tuyển tập các báo cáo nghiên cứu khoa học ngành toán học tạp chí Journal of Operator Theory đề tài: Từ đơn giản C *- đại số tiếp tuyến cho các nhóm automorphism nhỏ gọn...

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  • Tuyển tập các báo cáo nghiên cứu khoa học ngành toán học tạp chí Journal of Operator Theory đề tài: Vượt qua sản phẩm của các nhóm automorphism ở địa phương đơn nhất và bó chính...

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  • Let G be a connected, real, semisimple Lie group contained in its complexification GC , and let K be a maximal compact subgroup of G. We construct a KC -G double coset domain in GC , and we show that the action of G on the K-finite vectors of any irreducible unitary representation of G has a holomorphic extension to this domain. For the resultant holomorphic extension of K-finite matrix coefficients we obtain estimates of the singularities at the boundary, as well as majorant/minorant estimates along the boundary. ...

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  • We establish new results and introduce new methods in the theory of measurable orbit equivalence, using bounded cohomology of group representations. Our rigidity statements hold for a wide (uncountable) class of groups arising from negative curvature geometry.

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  • The present book collects most of the courses and seminars delivered at the meeting entitled “ Frontiers in Number Theory, Physics and Geometry”, which took place at the Centre de Physique des Houches in the French Alps, March 9- 21, 2003. It is divided into two volumes. Volume I contains the contributions on three broad topics: Random matrices, Zeta functions and Dynamical systems. The present volume contains sixteen contributions on three themes: Conformal field theories for strings and branes, Discrete groups and automorphic forms and finally, Hopf algebras and renormalization....

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  • In this book, we introduce a new type of algebra, which we call evolution algebras. These are algebras in which the multiplication tables are of a special type. They are motivated by evolution laws of genetics. We view alleles (or organelles or cells, etc,) as generators of algebras. Therefore we define the multiplication of two “alleles” Gi and Gj by Gi · Gj = 0 if i = j. However, Gi ·Gi is viewed as “self-reproduction,” so that Gi ·Gi = j pijGj, where the summation is taken over all generators Gj .

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  • The theory of automorphic functions in one complex variable was created during the second half of the nineteenth and the beginning of the twentieth centuries. Important contributions are due to such illustrious mathematicians as F. Klein, P. Koebe and H. Poincare. Two sources may be traced: the uniformization theory of algebraic functions, and certain topics in number theory. Automorphic functions with respect to groups with compact quotient space on the one hand and elliptic modular functions on the other are examples of these two aspects.

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  • This is a report on the recent proof of the fundamental lemma. The fundamental lemma and the related transfer conjecture were formulated by R. Langlands in the context of endoscopy theory in [26]. Important arithmetic applications follow from endoscopy theory, including the transfer of automorphic representations from classical groups to linear groups and the construction of Galois representations attached to automorphic forms via Shimura varieties.

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  • We prove an identity of Kloosterman integrals which is the fundamental lemma of a relative trace formula for the general linear group in n variables. 1. Introduction One of the simplest examples of Langlands’ principle of functoriality is the quadratic base change. Namely, let E/F be a quadratic extension of global fields and z → z the corresponding Galois conjugation. The base change associates to every automorphic representation π of GL(n, F) an automorphic representation Π of GL(n,E). If n = 1 then π is an id`ele class character and Π(z) = π(zz)....

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