Classical groups"", named so by Hermann Weyl, are groups of matrices or quotients of matrix groups by small normal subgroups. Thus the story begins, as Weyl suggested, with ""Her All-embracing Majesty"", the general linear group $GL_n(V)$ of all invertible linear transformations of a vector space $V$ over a field $F$. All further groups discussed are either subgroups of $GL_n(V)$ or closely related quotient groups. Most of the classical groups consist of invertible linear transformations that respect a bilinear form having ...
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Classical groups"", named so by Hermann Weyl, are groups of matrices or quotients of matrix groups by small normal subgroups. Thus the story begins, as Weyl suggested, with ""Her All-embracing Majesty"", the general linear group $GL_n(V)$ of all invertible linear transformations of a vector space $V$ over a field $F$. All further groups discussed are either subgroups of $GL_n(V)$ or closely related quotient groups. Most of the classical groups consist of invertible linear transformations that respect a bilinear form having some geometric significance, e.g., a quadratic form, a symplectic form, etc. Accordingly, the author develops the required geometric notions, albeit from an algebraic point of view, as the end results should apply to vector spaces over more-or-less arbitrary fields, finite or infinite. The classical groups have proved to be important in a wide variety of venues, ranging from physics to geometry and far beyond. In recent years, they have played a prominent role in the classification of the finite simple groups. This text provides a single source for the basic facts about the classical groups and also includes the required geometrical background information from the first principles. It is intended for graduate students who have completed standard courses in linear algebra and abstract algebra. The author, L. C. Grove, is a well-known expert who has published extensively in the subject area.
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New. Intended for graduate students who have completed standard courses in linear algebra and abstract algebra, this title provides a single source for the basic facts about the classical groups and also includes the required geometrical background information from the first principles. Series: Graduate Studies in Mathematics. Num Pages: 169 pages, bibliography, list, index. BIC Classification: PBG; PBH; PBM. Category: (P) Professional & Vocational. Dimension: 258 x 182 x 16. Weight in Grams: 544. 2001. 1st. Hardcover.....We ship daily from our Bookshop.
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PLEASE NOTE, WE DO NOT SHIP TO DENMARK. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Please note we cannot offer an expedited shipping service from the UK.
Add this copy of Classical Groups and Geometric Algebra (Graduate to cart. $112.09, new condition, Sold by Just one more Chapter rated 5.0 out of 5 stars, ships from Miramar, FL, UNITED STATES, published 2001 by American Mathematical Society.
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Add this copy of Classical Groups and Geometric Algebra (Graduate to cart. $110.61, new condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 2001 by American Mathematical Society.
