Grassmann Algebra and Determinant Theory., Stryzhak Tamara G.

Автор: Robert Vein; Paul Dale
Название: Determinants and Their Applications in Mathematical Physics
ISBN: 147577270X ISBN-13(EAN): 9781475772708
Издательство: Springer
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Цена: 93160.00 T
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Описание: A unique and detailed account of all important relations in the analytic theory of determinants, from the classical work of Laplace, Cauchy and Jacobi to the latest 20th century developments.

Автор: A. Iarrobino; Anthony Iarrobino; Vassil Kanev; S.L
Название: Power Sums, Gorenstein Algebras, and Determinantal Loci
ISBN: 3540667660 ISBN-13(EAN): 9783540667667
Издательство: Springer
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Цена: 53060.00 T
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Описание: The methods used are drawn from seemingly unrelated areas of commutative algebra and algebraic geometry, including the theories of determinantal varieties, of classifying spaces of Gorenstein-Artin algebras, and of Hilbert schemes of zero-dimensional subschemes.

Автор: Kenneth W. Johnson
Название: Group Matrices, Group Determinants and Representation Theory
ISBN: 3030282996 ISBN-13(EAN): 9783030282998
Издательство: Springer
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Цена: 51230.00 T
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Описание: This book sets out an account of the tools which Frobenius used to discover representation theory for nonabelian groups and describes its modern applications. It provides a new viewpoint from which one can examine various aspects of representation theory and areas of application, such as probability theory and harmonic analysis. For example, the focal objects of this book, group matrices, can be thought of as a generalization of the circulant matrices which are behind many important algorithms in information science. The book is designed to appeal to several audiences, primarily mathematicians working either in group representation theory or in areas of mathematics where representation theory is involved. Parts of it may be used to introduce undergraduates to representation theory by studying the appealing pattern structure of group matrices. It is also intended to attract readers who are curious about ideas close to the heart of group representation theory, which do not usually appear in modern accounts, but which offer new perspectives.

Автор: Gelfand, Israel M. Kapranov, Mikhail Zelevinsky, A
Название: Discriminants, resultants, and multidimensional determinants
ISBN: 0817647708 ISBN-13(EAN): 9780817647704
Издательство: Springer
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Цена: 83850.00 T
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Описание: Deals with the classical theory of resultants and discriminants.

Автор: Oliver Lorscheid, Thorsten Weist
Название: Quiver Grassmannians of Extended Dynkin Type $D$: Part I: Schubert Systems and Decompositions into Affine Spaces
ISBN: 1470436477 ISBN-13(EAN): 9781470436476
Издательство: Mare Nostrum (Eurospan)
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Цена: 83160.00 T
Наличие на складе: Нет в наличии.
Описание: The authors characterize the affine spaces in terms of the combinatorics of a fixed coefficient quiver for $M$. The method of proof is to exhibit explicit equations for the Schubert cells of $\mathrm{Gr}_{\underline{e}}(M)$ and to solve this system of equations successively in linear terms.

Автор: Lakshmibai V.
Название: Grassmannian Variety
ISBN: 1493930818 ISBN-13(EAN): 9781493930814
Издательство: Springer
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Цена: 74530.00 T
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Описание: Preface.- 1. Introduction.- Part I. Algebraic Geometry-A Brief Recollection - 2. Preliminary Material.- 3. Cohomology Theory.- 4. Grцbner Bases.- Part II. Grassmannian and Schubert Varieties.- 5. The Grassmannian and Its Schubert Varieties.- 6. Further Geometric Properties of Schubert Varieties.- 7. Flat Degenerations.- Part III. Flag Varieties and Related Varieties.- 8. The Flag Variety: Geometric and Representation-Theoretic Aspects.- 9. Relationship to Classical Invariant Theory.- 10. Determinantal Varieties.- 11. Related Topics.- References.- List of Symbols.- Index.

Автор: Gatto
Название: Hasse-Schmidt Derivations on Grassmann Algebras
ISBN: 3319318411 ISBN-13(EAN): 9783319318417
Издательство: Springer
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Цена: 71730.00 T
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Описание: This book provides a comprehensive advanced multi-linear algebra course based on the concept of Hasse-Schmidt derivations on a Grassmann algebra (an analogue of the Taylor expansion for real-valued functions), and shows how this notion provides a natural framework for many ostensibly unrelated subjects: traces of an endomorphism and the Cayley-Hamilton theorem, generic linear ODEs and their Wronskians, the exponential of a matrix with indeterminate entries (Putzer's method revisited), universal decomposition of a polynomial in the product of two monic polynomials of fixed smaller degree, Schubert calculus for Grassmannian varieties, and vertex operators obtained with the help of Schubert calculus tools (Giambelli's formula). Significant emphasis is placed on the characterization of decomposable tensors of an exterior power of a free abelian group of possibly infinite rank, which then leads to the celebrated Hirota bilinear form of the Kadomtsev-Petviashvili (KP) hierarchy describing the Pl?cker embedding of an infinite-dimensional Grassmannian. By gathering ostensibly disparate issues together under a unified perspective, the book reveals how even the most advanced topics can be discovered at the elementary level.

Автор: Winfried Bruns; Udo Vetter
Название: Determinantal Rings
ISBN: 3540194681 ISBN-13(EAN): 9783540194682
Издательство: Springer
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Цена: 41920.00 T
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Описание: Offers a treatment of the structure of determinantal rings. This book discusses principal radical systems. It is suitable for seminars following a course in commutative ring theory since a vast number of notions, results, and techniques can be illustrated significantly by applying them to determinantal rings.