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Invariant Algebras And Geometric Reasoning

invariant algebras - Cayley bracket algebra, conformal geometric algebra, and null bracket algebra - for highly efficient geometric computing. They;

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Actions and Invariants of Algebraic Groups

Actions and Invariants of Algebraic Groups, Second Edition presents a self-contained introduction to geometric invariant theory starting;

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Quantum Groups

invariance of differential operators under Lie algebras, quantum groups and superalgebras. This second volume covers quantum groups in their two main;

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Multiplicative Invariant Theory

, numerous explicit examples of multiplicative invariant algebras and fields are presented, including the complete list of all multiplicative;

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Introduction to Geometric Probability

of integral geometry, namely the kinematic formula. Finally the analogues between invariant measures and finite partially ordered sets are;

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Introduction to Geometric Probability

of integral geometry, namely the kinematic formula. Finally the analogues between invariant measures and finite partially ordered sets are;

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Poincare Duality Algebras, Macaulay's Dual Systems, and Steenrod Operations

Poincare duality algebras originated in the work of topologists on the cohomology of closed manifolds, and Macaulay's dual systems in the;

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Hopf Algebras

of infinitesimal Hopf modules and bimodules to the construction of a Hopf algebraic Morita invariant. It uses the newly introduced theory of bi-Frobenius;

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Hopf Algebras

of infinitesimal Hopf modules and bimodules to the construction of a Hopf algebraic Morita invariant. It uses the newly introduced theory of bi-Frobenius;

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Linguistic Values Based Intelligent Information Processing

include topics such as the 2-tuple model of linguistic values, 2-tuple linguistic aggregation operator hedge algebras, complete hedge algebras and;

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Affine Flag Varieties and Quantum Symmetric Pairs

The quantum groups of finite and affine type $A$ admit geometric realizations in terms of partial flag varieties of finite and affine type;

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Qualitative Spatial And Temporal Reasoning

been developed over the last two decades. It describes the connection of complexity issues to geometric properties. Models of the formalisms;

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The Geometric Hopf Invariant and Surgery Theory

) existing results in the literature. The central result of the book expresses algebraic surgery theory in terms of the geometric Hopf invariant, a;

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The Geometric Hopf Invariant and Surgery Theory

results in the literature. The central result of the book expresses algebraic surgery theory in terms of the geometric Hopf invariant, a;

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Clifford Algebras and Their Applications in Mathematical Physics

transformation laws, and electron scattering are also presented, showing the broad applicability of Clifford geometric algebras in solving physical;

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Symmetries, Lie Algebras and Representations

This is an introduction to Lie algebras and their applications in physics. The first three chapters show how Lie algebras arise naturally;

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Idempotent Matrices over Complex Group Algebras

from geometric and analytic considerations. For example, C.T.C. Wall [72] has shown that the problem of deciding whether a ?nitely dominated;

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Flag Varieties

Flag varieties are important geometric objects and their study involves an interplay of geometry, combinatorics, and representation theory;

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Mathematical Physics 12th

world. Topics covered include the numerical solution of the English equations, duality, strings and supergravity, analyticity of invariant tori;

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Exterior Algebras

computations, invariant endomorphism considerations, skew-symmetric operator studies and decompositions, and Hodge conjugation, amongst others.

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Groups, Algebras and Identities

well as applications of universal algebra to computer science, geometric ring theory, small cancellation theory, and Boolean algebras.;

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Geometric Invariant Theory, Holomorphic Vector Bundles and the Harder-Narasimhan Filtration

and researchers who want to approach Geometric Invariant Theory in moduli constructions can greatly benefit from this reading, whose key;

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Algebra and Applications 1

structures, geometric structures on 3-Lie algebras and derived categories are all explored. Algebra and Applications 1 is of great interest to;

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An Introduction to C*-Algebras and the Classification Program

of quasidiagonal C*-algebras, are examined, and finally, the Elliott invariant, the Cuntz semigroup, and the Jiang-Su algebra are defined. It is shown how;

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Algebras of Functions on Quantum Groups, Part 1

The book is devoted to the study of algebras of functions on quantum groups. The authors' approach to the subject is based on the parallels;

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Geometric Computation

This book contains tutorial surveys and original research contributions in geometric computing, modeling, and reasoning. Highlighting the;

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Polynomial Invariants of Finite Groups

essential and interesting results and methods in the theory of polynomial invariants of finite groups. From the table of contents: - Invariants and;

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