Classical Groups and Geometric Algebra (Graduate Studies in Mathematics)

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9780821820193: Classical Groups and Geometric Algebra (Graduate Studies in Mathematics)

``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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Larry C. Grove
Edité par American Mathematical Society, United States (2001)
ISBN 10 : 0821820192 ISBN 13 : 9780821820193
Neuf(s) Couverture rigide Quantité : 1
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Description du livre American Mathematical Society, United States, 2001. Hardback. État : New. Language: English . Brand New Book. 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. N° de réf. du libraire AAN9780821820193

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Larry C. Grove
Edité par American Mathematical Society, United States (2001)
ISBN 10 : 0821820192 ISBN 13 : 9780821820193
Neuf(s) Couverture rigide Quantité : 1
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The Book Depository US
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Description du livre American Mathematical Society, United States, 2001. Hardback. État : New. Language: English . Brand New Book. 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. N° de réf. du libraire AAN9780821820193

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Larry C. Grove
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ISBN 10 : 0821820192 ISBN 13 : 9780821820193
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Description du livre American Mathematical Society. Hardback. État : new. BRAND NEW, Classical Groups and Geometric Algebra, Larry C. Grove, '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. N° de réf. du libraire B9780821820193

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Larry C. Grove
Edité par American Mathematical Society (2001)
ISBN 10 : 0821820192 ISBN 13 : 9780821820193
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Description du livre American Mathematical Society, 2001. HRD. État : New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. N° de réf. du libraire CE-9780821820193

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Description du livre État : New. Depending on your location, this item may ship from the US or UK. N° de réf. du libraire 97808218201930000000

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Larry C. Grove
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Description du livre American Mathematical Society, 2001. Hardcover. État : New. Brand new. We distribute directly for the publisher. Clean, unmarked pages. Fine binding and cover. Ships daily. N° de réf. du libraire 1411040042

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Grove, Larry C.
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Description du livre Amer Mathematical Society, 2001. Hardcover. État : Brand New. 1st edition. 169 pages. 10.00x7.00x0.75 inches. In Stock. N° de réf. du libraire __0821820192

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Larry C. Grove
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ISBN 10 : 0821820192 ISBN 13 : 9780821820193
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Description du livre American Mathematical Society, 2001. Hardcover. État : New. N° de réf. du libraire DADAX0821820192

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Larry C. Grove
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ISBN 10 : 0821820192 ISBN 13 : 9780821820193
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Description du livre American Mathematical Society, 2001. Hardcover. État : New. N° de réf. du libraire SONG0821820192

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