Last edited by Voshicage
Thursday, July 23, 2020 | History

5 edition of Quantum linear groups found in the catalog.

Quantum linear groups

by Brian Parshall

  • 352 Want to read
  • 15 Currently reading

Published by American Mathematical Society in Providence, R.I., USA .
Written in English

    Subjects:
  • Linear algebraic groups.,
  • Representations of groups.,
  • Group schemes (Mathematics)

  • Edition Notes

    StatementBrian Parshall, Jian-pan Wang.
    SeriesMemoirs of the American Mathematical Society,, no. 439
    ContributionsWang, Jian-pan, 1949-
    Classifications
    LC ClassificationsQA3 .A57 no. 439, QA171 .A57 no. 439
    The Physical Object
    Paginationvi, 157 p. :
    Number of Pages157
    ID Numbers
    Open LibraryOL1861720M
    ISBN 100821825011
    LC Control Number90019310

      groups. The book should serve as an appetizer, inviting the reader to go more deeply into these fascinating, interdisciplinary fields of science. Much of the material covered here is not part of standard textbook treatments of classical or quantum mechanics (or is only superficially treated there). For physics students who want IC bases and quantum linear groups. Sydney: School of Mathematics and Statistics, University of Sydney. MLA Citation. Du, Jie. and University of Sydney. School of Mathematics and Statistics. IC bases and quantum linear groups / Jie Du School of Mathematics and Statistics, University of Sydney Sydney Australian/Harvard Citation. Du, ://

    F or quantum linear groups, we hav e followed the treatment b y Parshall and W ang [PW] wherever possible, as well as [Cl, JM, DDo, Do 7 ] for v arious additional :// Quantum Theory, Groups and Representations by Peter Woit, , available at Book Depository with free delivery ://

    This monograph provides an in-depth treatment of the class of linear-dynamical quantum systems. The monograph presents a detailed account of the mathematical modeling of these systems using linear alg    A Linear Algebra for Quantum Computation A vector space can be infinite, but in most applications in quantum computation, finite vector spaces are used and are denoted by Cn. In this case, the vectors have n complex entries. In this book, we rarely use infinite spaces, and in these few cases, we are interested only in finite ://


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Quantum linear groups by Brian Parshall Download PDF EPUB FB2

Quantum Theory, Groups and Representations: An Introduction Peter Woit Department of Mathematics, Columbia University [email protected]://~woit/QM/   The AMS Bookstore is open, but rapid changes related to the spread of COVID may cause delays in delivery services for print products.

Know that ebook versions of most of our titles are still available and may be downloaded immediately after :// We consider the theory of quantum groups as a natural abstraction of the theory of affine group schemes.

After establishing the foundational results as the theory of induced representations, rational cohomology, and the Hochschild-Serre spectral sequence, we take up a detailed investigation of the quantum linear group [italic]GL[italic subscript]q([italic]n).

Introduction 1. Quantum groups 2. Representation theory of quantum groups 3. Quantum matrix spaces 4. Quantum determinants 5. The antipode and quantum linear groups 6. Some closed subgroups 7. Frobenius morphisms and kernels 8. Global representation theory 9. Quantum linear groups book representation theory   Destination page number Search scope Search Text Search scope Search Text   theory of quantum linear groups.

For the former, we have adopted the point of view of the Deligne-Lusztig theory, as described for GL n(F q) by Fong and Srinivasan [FS], supplemented by various other basic results most of which can be found in Carter’s book [C]; we also appeal to the result of [DDu 1, x5],[HL 2] showing that The quantum groups discussed in this book are the quantized enveloping algebras introduced by Drinfeld and Jimbo inor variations thereof.

The theory of quantum groups has led to a new, extremely rigid structure, in which the objects of the theory are provided with canonical basis with rather remarkable :// This book contains the proceedings of the Conference on Linear Algebraic Groups and Their Representations, held at UCLA in March The central theme is the fundamental nature of this subject and its interaction with a wide variety of active areas in mathematics and ://   Quantum information processing is the result of using the physical reality that quantum theory tells us about for the purposes of performing tasks that were previously thought impossible or infeasible.

Devices that perform quantum in-formation processing are known as quantum computers. In this book we A quantum Capelli identity is given on the multiparameter quantum general linear groupbased on the $(p_{ij},~u)$-condition.

The multiparameter quantum Pfaffian of the $(p_{ij},~u)$-quantum group is also introduced and the transformation under the congruent action   Linear algebra Vectors28 Matrices35 Complex conjugate, transpose and conjugate transpose47 Quantum mechanics can be baffling, yes, surprising, definitely, and certainly We’ll spend at least five hours going through the key sections of the book and work through exercises in groups.

QCSYS counsellors, graduate 2 days ago  Quantum computing explained in terms of elementary linear algebra, emphasizing computation and algorithms and requiring no background in physics.

This introduction to quantum algorithms is concise but comprehensive, covering many key algorithms. It is mathematically rigorous but requires minimal background and assumes no knowledge of quantum theory or quantum mechanics.

The book   Global IC bases for quantum linear groups’ Jie Du * School of Mathematics, University of New South Wales, SydneyAustralia Communicated by E.

Friedlander; received 14 July Abstract The author studied recently certain canonical bases for irreducible representations of quantum linear groups [5,   For better focus on the algorithms, we chose to de-emphasize quantum cir-cuits.

In fact, we tried to avoid quantum circuits and particularities of quantum gates altogether. However, they are excellent to illuminate linear algebra, so we have provided a rich set of exercises in chapters 3 through 7, plus two pop-ular applications in section   1 Quantum linear groups and polynomial induction 9 18 free; Symmetric groups and Hecke algebras 9 18; The g-Schur algebra 11 20; Tensor products and Levi subalgebras 14 23; Polynomial induction 19 28; Schur algebra induction 25 34; 2 Classical results on GL[sub(n)] 29 38; Conjugacy classes and Levi subgroups 29 =MEMO Newest Quantum Physics & Non Linear Reality groups.

Quantum Christ And The Law Of Attraction. 2 Members. Started Jul 21 in Kaysville, USA. 34 Members. Started May 19 in München, Germany.

Truth, Disclosure, and The Great Awakening. 33 Members. Started May 12 in Aptos, ://   We are now going to view these functors as quantum linear groups, see [PW], and pay attention to the bialgebra respectively Hopf algebra- structure of their coordinate algebras.

O(G'Z-i) = K[x, \/x\ is a bialgebra with antipode x i l/x, i.e. a Hopf algebra, see [A], [K] for the notion of Hopf alge- bras and quantum groups.

From now on let n > ://   Thus this book can serve both as an introduction for the newcomer, and as a guide for the more experienced reader. All who have an interest in the subject will welcome this unique treatment of quantum ://   Noncommutative symmetric functions IV: Quantum linear groups and Hecke algebras at q = 0 Daniel Krob and Jean-Yves Thibon y z We present representation theoretical interpretations of quasi-symmetric functions and noncommutative symmetric functions  › 百度文库 › 语言/资格考试.

Linear Algebra Review, Unitary and Orthogonal Groups The latter portions of the book focus on central mathematical objects that occur in the Standard Model of particle physics, underlining the deep and intimate connections between mathematics and the physical world.

Lie algebras Lie groups quantization quantum fields quantum mechanics. This textbook presents an expanded write-up of Manin's celebrated Montreal author systematically develops an approach to quantum groups as symmetry objects in noncommutative geometry in contrast to the more deformation-oriented approach due to Faddeev, Drinfeld, and  › Mathematics › Algebra.

This book is a very clear and self-contained introduction to quantum groups and related objects. The book begins with a very well-written introduction via quasiclassical objects, which makes the theory of quantum groups seem very natural from the outset.

The book is especially useful in that it provides a solid explanation of the theorem on  › Books › Science & Math › Mathematics.Quantum Theory, Groups and Representations: An Introduction - Ebook written by Peter Woit.

Read this book using Google Play Books app on your PC, android, iOS devices. Download for offline reading, highlight, bookmark or take notes while you read Quantum Theory, Groups and Representations: An ://