Download E-books Representations of Finite Groups of Lie Type (London Mathematical Society Student Texts) PDF

This booklet is predicated on a graduate direction taught on the collage of Paris. The authors target to regard the elemental conception of representations of finite teams of Lie sort, reminiscent of linear, unitary, orthogonal and symplectic teams. They emphasise the Curtis–Alvis duality map and Mackey's theorem and the implications that may be deduced from it. additionally they talk about Deligne–Lusztig induction. this can be the 1st straight forward therapy of this fabric in booklet shape and should be welcomed by way of starting graduate scholars in algebra.

Show description

Read or Download Representations of Finite Groups of Lie Type (London Mathematical Society Student Texts) PDF

Best Linear books

Functional Analysis in Modern Applied Mathematics

During this e-book, we examine theoretical and functional elements of computing tools for mathematical modelling of nonlinear structures. a few computing concepts are thought of, resembling tools of operator approximation with any given accuracy; operator interpolation thoughts together with a non-Lagrange interpolation; equipment of process illustration topic to constraints linked to thoughts of causality, reminiscence and stationarity; equipment of method illustration with an accuracy that's the top inside of a given category of types; tools of covariance matrix estimation;methods for low-rank matrix approximations; hybrid tools in accordance with a mixture of iterative strategies and top operator approximation; andmethods for info compression and filtering below situation filter out version may still fulfill regulations linked to causality and varieties of reminiscence.

The Theory of Matrices, Second Edition: With Applications (Computer Science and Scientific Computing)

During this e-book the authors attempt to bridge the distance among the remedies of matrix thought and linear algebra. it's aimed toward graduate and complicated undergraduate scholars looking a origin in arithmetic, computing device technological know-how, or engineering. it's going to even be valuable as a reference publication for these engaged on matrices and linear algebra to be used of their clinical paintings.

The Structure of Groups of Prime Power Order

The coclass undertaking (1980-1994) supplied a brand new and strong strategy to classify finite p-groups. This monograph supplies a coherent account of the pondering out of which built the philosophy that bring about this category. The authors offer a cautious precis and clarification of the various and hard unique study papers at the coclass conjecture and the constitution theorem, hence elucidating the historical past examine for these new to the realm in addition to for skilled researchers.

Additional info for Representations of Finite Groups of Lie Type (London Mathematical Society Student Texts)

Show sample text content

Rated 4.88 of 5 – based on 18 votes