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Download books for free. This is a graduate-level text that systematically develops the foundations of the subject.

Download books for free. After formal definitions and basic theory, the book goes on to cover such topics as quantum enveloping algebras, matrix quantum groups, combinatorics, cross products of various kinds, the quantum double, the semiclassical theory of Poisson-Lie groups, the representation theory, braided groups and applications to q-deformed physics.

Thompson, J. M. T. and Majid, Shahn 2000. Non-commutative geometry and quantum groups. Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, Vol. 358, Issue.

After formal definitions and basic theory, the book goes on to cover such topics as quantum enveloping algebras, matrix quantum . Introduction This is an introduction to the foundations of quantum group theory

After formal definitions and basic theory, the book goes on to cover such topics as quantum enveloping algebras, matrix quantum groups, combinatorics, cross products of various kinds, the quantum double, the semiclassical theory of Poisson-Lie groups, the representation theory, braided groups and applications to q-deformed physics. Introduction This is an introduction to the foundations of quantum group theory. Quantum groups or Hopf algebras are an exciting new generalisation of ordinary groups. They have a rich mathematical structure and numerous roles in situations where ordinary groups are not adequate.

Hopf algebras) are treated as mathematical objects in their own right; basic properties and theorems are proven in detail from this standpoint, including the results underlying key applications. After formal definitions and the basic theory, the book goes on to cover such topics as quantum enveloping algebras, matrix quantum groups, combinatorics, cross products of various kinds, the quantum double, the semiclassical theory of Poisson-Lie groups, the representation theory, braided groups and applications to q-deformed physics.

In the 1990s, Majid introduced the theory of braided groups or braided Hopf algebras as the true objects underlying. q {displaystyle q}. -deformations.

He also pioneered a quantum groups approach to noncommutative geometry and the use of such methods as a route to quantum gravity, leading in 1994 to the first model with testable predictions of quantum spacetime. He is also known for a range of results in algebra and category theory, notably for his theory of braided Hopf algebras and for a new view of the octonions. In the 1990s, Majid introduced the theory of braided groups or braided Hopf algebras as the true objects underlying.

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A Quantum Groups Primer. Majid S. Foundations of quantum group theory (CUP, 1994)(deskewed)(T)(625s) MAq. 0 Mb. Foundations of quantum group theory (CUP, 1994)(K)(T)(625s) MAq. 8 Mb. Foundations of quantum group theory (CUP, 1994)(T)(625s) MAq.

Find many great new & used options and get the best deals for Foundations of Quantum Group Theory by Shahn . A graduate level text which systematically lays out the foundations of Quantum Groups.

A graduate level text which systematically lays out the foundations of Quantum Groups.

Автор: Shahn Majid Название: Foundations of Quantum Group Theory Издательство: Cambridge .