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Quantum Algebra

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A Course in Vertex Algebra
Author: Markus Rosellen  Language:
This book offers an introduction to vertex algebra based on a new approach. The new approach says that a vertex algebra is an associative algebra such that the underlying Lie algebra is a vertex Lie a . . . . .
Introduction to Vertex Algebras
Author: Christophe Nozaradan  Language:
These lecture notes are intended to give a modest impulse to anyone willing to start or pursue a journey into the theory of Vertex Algebras by reading one of Kac\'s or Lepowsky-Li\'s books. Therefore, . . . . .
Introduction to Graded Geometry, Batalin-Vilkovisky Formalism and their Applications
Author: Jian Qiu, Maxim Zabzine  Language:
These notes are intended to provide a self-contained introduction to the basic ideas of finite dimensional Batalin-Vilkovisky (BV) formalism and its applications. A brief exposition of super- and grad . . . . .
An Introduction to Quantum Algebras and Their Applications
Author: R. Jaganathan  Language:
A very elementary introduction to quantum algebras is presented and a few examples of their physical applications are mentioned.
Introduction to Quantum Lie Algebras
Author: Gustav W. Delius  Language:
Quantum Lie algebras are generalizations of Lie algebras whose structure constants are power series in $h$. They are derived from the quantized enveloping algebras $uqg$. The quantum Lie bracket satis . . . . .
Introduction to Quantum Algebras
Author: Maurice R. Kibler  Language:
The concept of a quantum algebra is made easy through the investigation of the prototype algebras $u_{qp}(2)$, $su_q(2)$ and $u_{qp}(1,1)$. The latter quantum algebras are introduced as deformations o . . . . .

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