Embedding Uq(sl(2)) and Sine Algebras in Generalized Clifford Algebras

被引：0

作者：

E. H. EL Kinani

A. Ouarab

机构：

[1] UFR de Physique Théorique,Faculté des Sciences

[2] Département de Mathématique,undefined

[3] Faculté des Sciences et Technique,undefined

[4] Bouta lamine,undefined

[5] Abdus Salam International Centre for Theoretical Physics,undefined

来源：

International Journal of Theoretical Physics | 2000年 / 39卷

关键词：

Field Theory; Elementary Particle; Quantum Field Theory; Sine; Sine Algebra;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We establish the connection between certain quantum algebras and generalizedClifford algebras (GCA). To be precise, we embed the quantum tori Lie algebraand Uq(sl(2)) in GCA.

引用

页码：1963 / 1966

页数：3

共 50 条

[1] Embedding Uq(sl(2)) and sine algebras in generalized Clifford algebras
El Kinani, EH
Ouarab, A
[J]. INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2000, 39 (08) : 1963 - 1966
[2] The embedding ofUq(sl (2)) and sine algebras in generalized Clifford algebras
E. H. El Kinani
A. Ouarab
[J]. Advances in Applied Clifford Algebras, 1999, 9 (1) : 103 - 108
[3] Realization of w∞-algebras and Uq(sl(2)) in terms of generalized Clifford algebras
El Kinani, EH
[J]. REPORTS ON MATHEMATICAL PHYSICS, 2001, 47 (01) : 49 - 56
[4] Categorification of Clifford algebras and Uq(sl(1|1))
Tian, Yin
[J]. JOURNAL OF SYMPLECTIC GEOMETRY, 2016, 14 (02) : 541 - 585
[5] Clifford Embeddings - A Generalized Approach for Embedding in Normed Algebras
Demir, Caglar
Ngomo, Axel-Cyrille Ngonga
[J]. MACHINE LEARNING AND KNOWLEDGE DISCOVERY IN DATABASES: RESEARCH TRACK, ECML PKDD 2023, PT III, 2023, 14171 : 567 - 582
[6] GENERALIZED CLIFFORD ALGEBRAS AND DIMODULE ALGEBRAS
LONG, FW
[J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1976, 13 (AUG): : 438 - 442
[7] Algebra embedding of Uq(sl(2)) into the tensor product of two (q, h)-Weyl algebras
Filipuk, Galina
Hilger, Stefan
[J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 2016, 220 (05) : 2049 - 2063
[8] GENERALIZED CLIFFORD ALGEBRAS
IKEDA, M
KOC, C
[J]. JOURNAL OF ALGEBRA, 1972, 23 (01) : 133 - &
[9] Explicit solutions of Galois embedding problems by means of generalized Clifford algebras
Vela, M
[J]. JOURNAL OF SYMBOLIC COMPUTATION, 2000, 30 (06) : 811 - 842
[10] Euclidean and super Euclidean algebras and Localizations of Uq(sl(2)) and Uq(osp(1|2))
Moylan, Patrick
[J]. 8TH INTERNATIONAL SYMPOSIUM ON QUANTUM THEORY AND SYMMETRIES (QTS8), 2014, 512

← 1 2 3 4 5 →