Computational aspects of Lie group representations and related topics

proceedings of the 1990 Computational Algebra Seminar at CWI, Amsterdam by Computational Algebra Seminar (1990 Amsterdam, Netherlands)

Publisher: Centrum voor Wiskunde en Informatica =, Publisher: Centre for Mathematics and Computer Science in Amsterdam

Written in English
Published: Pages: 142 Downloads: 659
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Subjects:

  • Lie groups -- Congresses.

Edition Notes

Includes bibliographical references.

Statementedited by A.M. Cohen.
SeriesCWI tract -- 84.
ContributionsCohen, Arjeh M., Centrum voor Wiskunde en Informatica (Amsterdam, Netherlands)
The Physical Object
Paginationii, 142 p. :
Number of Pages142
ID Numbers
Open LibraryOL17643664M

I have been working on combinatorial group theory, lie algebras, homology of groups, logic and various other topics that involve computational algebra and logic for almost 5 decades. In the past 5 or so years I have been the Director of the Center for Algorithms and Interactive Scientific Software (CAISS), where we have developed software for. COURSE: CS Foundations of Electronic Marketplaces Fall Summary:The course covers classic and state-of-the-art results on computational and game-theoretic questions related to electronic marketplaces. Abstract: This PhD-level course covers classic and state-of-the-art results on computational and game-theoretic questions related to electronic marketplaces.   As an unexpected byproduct our groups yield new examples related to a question of Grothendieck concerning isomorphism of groups with isomorphic profinite completions. We also give a quick survey of some areas of infinite group theory in which these and related constructions based on finite simple groups play a role. These topics are somewhat related to the Novikov conjecture (although that is only one important aspect). Jonathan Rosenberg maintains a web page of developments related to this problem (and to the Borel and Baum-Connes conjectures). In general, one often connects the fundamental group to invariants of manifolds with that fundamental group.

Induced representations, Artin’s theorem, Brauer’s theorem. Representations of compact groups and the Peter-Weyl theorem. Lie groups, examples of Lie groups, representations and characters of Lie group. Lie algebras associated with Lie groups. Applications of the group representations in algebra and physics. Elements of algebraic geometry. The label classical computational theory of mind (which we will abbreviate as CCTM) is now fairly standard. According to CCTM, the mind is a computational system similar in important respects to a Turing machine, and core mental processes (e.g., reasoning, decision-making, and problem solving) are computations similar in important respects to.   This invaluable book provides a concise and systematic introduction to the theory of compact connected Lie groups and their representations, as well as a complete presentation of the structure and classification theory. It uses a non-traditional approach Author: Wu-Yi Hsiang. The second part of the class will move from pricing to regulation, with an emphasis on the computational aspects of regulatory credit risk capital under Basel 3. A variety of highly topical subjects will be discussed during the course, including: funding costs, XVA metrics, initial margin, credit risk mitigation, central clearing, and balance.

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Computational aspects of Lie group representations and related topics. Amsterdam: Centrum voor Wiskunde en Informatica = Centre for Mathematics and Computer Science, © (OCoLC) Material Type: Conference publication, Internet resource: Document Type: Book, Internet Resource: All Authors / Contributors.

Computational aspects of Lie group representations and related topics: proceedings of the computational algebra seminar at CWI, Amsterdam Editor Cohen, : A.M. Cohen. Computational aspects of Lie group representations and related topics: proceedings of the computational algebra seminar at CWI, Amsterdam Author A.M.

CohenAuthor: A.M. Cohen. This book is a blend of recent developments in theoretical and computational aspects of group theory. It presents the state-of-the-art research topics in different aspects of group theory, namely, character theory, representation theory, integral group rings, the Monster simple group, computational algorithms and methods on finite groups, finite loops, periodic groups, Camina groups and.

There are two ways to say what a representation is. The first uses the idea of an action, generalizing the way that matrices act on column vectors by matrix multiplication.A representation of a group G or (associative or Lie) algebra A on a vector space V is a map: × →: × → with two properties.

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The one-parameter groups are the first instance of Lie theory. The compact case arises through Euler's formula in the complex one-parameter groups occur in the split-complex number plane as the unit hyperbola {⁡ = ⁡ + ⁡ (): ∈},and in the dual number plane as the line {⁡ = +: Computational aspects of Lie group representations and related topics book.

In these cases the Lie algebra parameters have names: angle. Yet another topic that is beyond the scope of this book, but which is of increasing importance in CGT, is computational Lie theory. This includes computations with Coxeter groups, reflection groups, and groups of Lie type and their representations.

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Computational Aspects of Root Systems, Coxeter Groups, and representation theory. John Stembrige is famous for his study on combinatorics in Lie algebra representations, Coxeter/Weyl groups, and other topics. van Leeuwen is famous in the field of manipulation of Young tableaux and its related topics.

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representations of the rotation group SO(3). Here a more mathematical approach—especially the relationship between Lie group representations and Lie algebra representations—can substantially clarify a topic that is rather mysterious in the physics literature.

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