5 edition of **Finite group algebras and their modules** found in the catalog.

- 252 Want to read
- 35 Currently reading

Published
**1983**
by Cambridge University Press in Cambridge [Cambridgeshire], New York
.

Written in English

- Group algebras.,
- Finite groups.,
- Algebraic fields.,
- Modules (Algebra)

**Edition Notes**

Statement | P. Landrock. |

Series | London Mathematical Society lecture note series,, 84 |

Classifications | |
---|---|

LC Classifications | QA171 .L277 1983 |

The Physical Object | |

Pagination | x, 274 p. ; |

Number of Pages | 274 |

ID Numbers | |

Open Library | OL3172802M |

ISBN 10 | 0521274877 |

LC Control Number | 83015049 |

P. Landrock: Finite Group Algebras and Their Modules. London Mathematical Society Lecture Note Ser Cambridge University Press, Cambridge, zbMATH Google Scholar [7]Cited by: 5. Let G be a finite group and let F be a field. It is well known that linear representations of G over F can be interpreted as modules over the group algebra FG. Thus the investigation of ring-theoretic structure of the Jacobson radical J(FG) of FG is of fundamental :

Representation theory of finite groups and associative algebras Charles W. Curtis, Irving Reiner First published in , this classic book remains a remarkably complete introduction to various aspects of the representation theory of finite groups. The Mathematical Sciences Research Institute (MSRI), founded in , is an independent nonprofit mathematical research institution whose funding sources include the National Science Foundation, foundations, corporations, and more than 90 universities and institutions. The Institute is located at 17 Gauss Way, on the University of California, Berkeley campus, close to Grizzly Peak, on the.

A group is an abstract mathematical object, a set with elements and an operation satisfying certain axioms. A representation of a group realizes the elements of the group concretely as geometric symmetries. The same group will generally have many di erent such representations. Thus, even aFile Size: KB. Example 5) is: G = finite group, A = k [G] = group-algebra of G over the field k (thus A is not commutative, unless G is). Then A -module = k -representation of G. I'm far away from understanding how k [G] -module = k -representation of G. I try to unwind the definitions as follows.

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Originally published inthe principal object of this book is to discuss in detail the structure of finite group rings over fields of characteristic, p, P-adic rings and, in some cases, just principal ideal domains, as well as modules of such group : Paperback. Originally published inthe principal object of this book is to discuss in detail the structure of finite group rings over fields of characteristic, p, P-adic rings and, in some cases, just principal ideal domains, as well as modules of such group by: Originally published inthe principal object of this book is to discuss in detail the structure of finite group rings over fields of characteristic, p, P-adic rings and, in some cases, just Read more.

Book Title Finite group algebras and their modules: Author(s) Landrock, P: Publication Cambridge: Cambridge University Press, - p. Series (London Mathematical Society Lecture Note Series; 84) Subject category Mathematical Physics and Mathematics: AbstractCited by: Whether you've loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them.

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英文书摘要. permuted by a symmetric group are replaced by linear structures acted on by a general linear group, thereby giving representations in positive characteristic.

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We start with a basic fact about group algebras of p-groups in characteristic p. Theorem Let k be a field of characteristic p and G a p-group. The regular representation is an indecomposable projective module that is the projective cover of the trivial representation. Every finitely generated projective module Author: Peter Webb.

Page 4 - G, the number of distinct right (left) cosets of H in G is called the index of H in G and is denoted by [G: H] or by ic (H). Page - K. MORITA. On group rings over a modular field which possess radicals expressible as principal ideals, Sci. Page 12 - Vaandrager shows, [15, §], 1/5(1). This chapter discusses group algebras and their properties.

These include support of central idempotents, the notion of defect group of a block, the number of irreducible FG-modules, and some formal properties of induced chapter presents only those results that are deemed essential for the study of the Jacobson radical of the group algebra FG.

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@inproceedings{GreenFINITEGA, title={FINITE GROUP ALGEBRAS AND THEIR MODULES (London Mathematical Society Lecture Note Series, 84)}, author={J. Green}, year={} } J. Green Published Mathematics under an appropriate Galois group; and this formulation has proved the most fruitful.

additive group affine space Apply Exercise automorphism basis e1 bilinear function coefficients column commutative complex numbers complex representation contains coordinates coprime cyclic group Decompose decomposition defined determinant dimension direct sum eigenvalues eigenvectors equal equations Euclidean space exists field extension field.

After a review of the Tannakian philosophy, there are short accounts of Lie algebras and finite group schemes. Solvable algebraic groups are studied in detail in Chapters The final eight chapters treat the Borel-Chevalley structure theory of reductive algebraic groups over arbitrary fields. Buy Unstable Modules over the Steenrod Algebra and Sullivan's Fixed Point Set Conjecture and the author studies specifically the homotopy fixed point set of a finite group acting on a finite complex.

From an equivariant point of view, a homotopy fixed point is a set of maps equivariant under the integers modulo 2 (Z/2) from the "antipodal Cited by: REPRESENTATIONS OF HOPF ALGEBRAS Here are the main results of the article. Throughout, H denotes a finite-dimensional Hopf algebra over a field I-of characteristic p G 0, and S is the antipode of H.

THEOREM 1. If H is in¤olutory that is, S2 s Id. and not semisimple, then p di ¤ides the dimension of e ery projecti eH-module. The next result determines the rank of the map c˜ s IdI mc.This book started as notes for courses given at the graduate level at the University of 7 Projective modules for ﬁnite-dimensional algebras 8 Projective modules for group algebras 9 Changing the ground ring: splitting ﬁelds and the decomposition map Finite Group Representations 2File Size: KB.