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Author: Juan Uriagereka
Publisher: Routledge
ISBN: 1134538480
Category : Language Arts & Disciplines
Languages : en
Pages : 377
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Book Description
This book presents an analysis of a variety of central linguistic notions, such as case agreement, obviation, and rigidity, from a derivational perspective.
Author: Juan Uriagereka
Publisher: Routledge
ISBN: 1134538480
Category : Language Arts & Disciplines
Languages : en
Pages : 377
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Book Description
This book presents an analysis of a variety of central linguistic notions, such as case agreement, obviation, and rigidity, from a derivational perspective.
Author: Samuel David Epstein
Publisher: Cambridge University Press
ISBN: 9780521010580
Category : Language Arts & Disciplines
Languages : en
Pages : 244
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Book Description
A pathbreaking new perspective on derivation, the series of operations by which sentences are formed.
Author: Gene Freudenburg
Publisher: Springer
ISBN: 3662553503
Category : Mathematics
Languages : en
Pages : 319
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Book Description
This book explores the theory and application of locally nilpotent derivations, a subject motivated by questions in affine algebraic geometry and having fundamental connections to areas such as commutative algebra, representation theory, Lie algebras and differential equations. The author provides a unified treatment of the subject, beginning with 16 First Principles on which the theory is based. These are used to establish classical results, such as Rentschler's Theorem for the plane and the Cancellation Theorem for Curves. More recent results, such as Makar-Limanov's theorem for locally nilpotent derivations of polynomial rings, are also discussed. Topics of special interest include progress in classifying additive actions on three-dimensional affine space, finiteness questions (Hilbert's 14th Problem), algorithms, the Makar-Limanov invariant, and connections to the Cancellation Problem and the Embedding Problem. A lot of new material is included in this expanded second edition, such as canonical factorization of quotient morphisms, and a more extended treatment of linear actions. The reader will also find a wealth of examples and open problems and an updated resource for future investigations.
Author: V. Kharchenko
Publisher: Springer Science & Business Media
ISBN: 9401136041
Category : Mathematics
Languages : en
Pages : 398
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Book Description
![Representations on Krein Spaces [Hot] and Derivations of C*-Algebras PDF](https://books.google.com/books/content/images/frontcover/PFdAMcRVvmgC?fife=w80-h100)
Author: Edward Kissin
Publisher: CRC Press
ISBN: 9780582231573
Category : Mathematics
Languages : en
Pages : 620
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Book Description
This text provides a comprehensive treatment of representations on indefinite metric spaces, and their applications to the theory of *-derivations of C*-algebras. The book consists of two parts. The first studies the geometry of indefinite metric spaces (Krein and (Pi)(kappa)-spaces) and describes the theory of J-symmetric operator algebras and representations of *-algebras and groups on these spaces in a systematic form. For representations on (Pi)(kappa)-spaces, many significant new results are obtained; this establishes a possible approach to the general theory of representations. In the second part, different techniques of the theory of J-symmetric representations on Krein spaces are applied to the theory of *-derivations of C*-algebras implemented by skew-symmetric and dissipative operators. Various results are obtained, which establish a link between the deficiency indices of skew-symmetric operators implementing *-derivations of C*-algebras and dimensions of representations of these algebras. The problem of isomorphism of skew-symmetric operators is also touched upon. Numerous properties of the domains of *-derivations are investigated. These domains constitute an important subclass of differentiable Banach *-algebras, that is dense *-subalgebras of C*-algebras with properties in many respects similar to the properties of algebras of differentiable functions. The Weyl operator commutation relations are examined in the general context of *-derivations of C*-algebras. Powersí and Arvesonís indices of one-parameter semigroups of *-endomorphisms of the algebra B are considered, and various notions of the index of a *-derivation are introduced and studied. Application of the theory of J-symmetric representations on Krein spaces to the theory of *-derivations of C*-algebras is a new research area of growing interest and there are many exciting advances to be made in this field. The book covers a fairly large and complex body of material, and will serve as a stimulus to further research activity in this area.
Author: Sandy Grabiner
Publisher: American Mathematical Soc.
ISBN: 0821818465
Category : Banach algebras
Languages : en
Pages : 130
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Book Description
This paper studies derivations, endomorphisms, automorphisms, and various related questions about certain Banach algebras, B, which are continuously embedded in the space of complex formal power series in the indeterminate z.
Author: Letterio Gatto
Publisher: Springer
ISBN: 331931842X
Category : Mathematics
Languages : en
Pages : 195
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Book Description
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 Plücker 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.
Author: Hisatsugu Kitahara
Publisher: MIT Press
ISBN: 9780262611299
Category : Education
Languages : en
Pages : 164
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Book Description
Hisatsugu Kitahara advances Noam Chomsky's Minimalist Program (1995) with a number of innovative proposals.
Author: Istvan Mayer
Publisher: Springer Science & Business Media
ISBN: 1475765193
Category : Science
Languages : en
Pages : 341
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Book Description
Since 1983 I have been delivering lectures at Budapest University that are mainly attended by chemistry students who have already studied quantum chem istry in the amount required by the (undergraduate) chemistry curriculum of the University, and wish to acquire deeper insight in the field, possibly in prepara tion of a master's or Ph.D. thesis in theoretical chemistry. In such a situation, I have the freedom to discuss, in detail, a limited number of topics which I feel are important for one reason or another. The exact coverage may vary from year to year, but I usually concentrate on the general principles and theorems and other basic theoretical results which I foresee will retain their importance despite the rapid development of quantum chemistry. I commonly organize my lectures by treating the subject from the begin ning, without referring explicitly to any actual previous knowledge in quantum chemistry-only some familiarity with its goals, approaches and, to a lesser ex tent, techniques is supposed. I concentrate on the formulae and their derivation, assuming the audience essentially understands the reasons for deriving these results. This book is basically derived from the material of my lectures. The spe cial feature, distinguishing it from most other textbooks, is that all results are explicitly proved or derived, and the derivations are presented completely, step by step. True understanding of a theoretical result can be achieved only if one has gone through its derivation.
Author: Hans Broekhuis
Publisher: Walter de Gruyter
ISBN: 3110207206
Category : Language Arts & Disciplines
Languages : en
Pages : 397
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Book Description
This study shows that Scandinavian object shift and so-called A-scrambling in the continental Germanic languages are the same, and aims at providing an account of the variation that we find with respect to this phenomenon by combining certain aspects of the Minimalist Program and Optimality Theory. More specifically, it is claimed that representations created by a simplified version of the computational system of human language CHL are evaluated in an optimality theoretic fashion by taking recourse to a very small set of output constraints.
