Realization of \(w_\infty\)-algebras and \(U_q(sl(2))\) in terms of generalized Clifford algebras
DOI10.1016/S0034-4877(01)90005-9zbMath1005.17011MaRDI QIDQ5933509
Publication date: 25 February 2003
Published in: Reports on Mathematical Physics (Search for Journal in Brave)
quantum groupsextended Virasoro algebrasgeneralized Clifford algebrasquantum tori Lie algebraroots of unity
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Virasoro and related algebras (17B68) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Quantum group symmetries and non-local currents in 2D QFT
- Vertex operator representation of some quantum tori Lie algebras
- On quasi-number algebras
- 2D fractional supersymmetry for rational conformal field theory: application for third-integer spin states
- Infinite dimensional geometry and quantum field theory of strings. III: Infinite dimensional \(W\)-geometry of a second quantized free string
- Finite dimensional representations of Clifford algebras of polynomials
- q-Area Preserving Algebras SDiff(Tk) and the Matrix Algebra $\bar a_{\infty}$
- Pseudo-Differential Operators $(\psi{\cal D}{\cal O})$ Algebra and Certain Infinite-Dimensional Lie Algebras
- MATRICIAL REPRESENTATION OF RATIONAL POWER OF OPERATORS AND PARA-GRASSMANN EXTENSION OF QUANTUM MECHANICS
- Infinite-dimensional algebras and a trigonometric basis for the classical Lie algebras
- Clifford- and Grassmann-like algebras—Old and new
- Linearization of polynomials
This page was built for publication: Realization of \(w_\infty\)-algebras and \(U_q(sl(2))\) in terms of generalized Clifford algebras
