Q-OSCILLATOR REALIZATIONS OF THE QUANTUM SUPERALGEBRAS SLQ(M,N) AND OSPQ(M,2N)

被引：83

作者：

FLOREANINI, R

SPIRIDONOV, VP

VINET, L

机构：

[1] UNIV CALIF LOS ANGELES,DEPT PHYS,LOS ANGELES,CA 90024

[2] CALTECH,PASADENA,CA 91125

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1991年 / 137卷 / 01期

关键词：

D O I：

10.1007/BF02099120

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Realizations of the quantum superalgebras corresponding to the A(m, n), B(m, n), C(n + 1), and D(m, n) series are given in terms of the creation and annihilation operators of q-deformed Bose and Fermi oscillators.

引用

页码：149 / 160

页数：12

共 22 条

[1]

Abe E., 1980, HOPF ALGEBRAS

[2] THE QUANTUM GROUP SUQ(2) AND A Q-ANALOGUE OF THE BOSON OPERATORS [J].

BIEDENHARN, LC .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1989, 22 (18) :L873-L878

[3] QUANTUM LIE-SUPERALGEBRAS AND Q-OSCILLATORS [J].

CHAICHIAN, M ;

KULISH, P .

PHYSICS LETTERS B, 1990, 234 (1-2) :72-80

[4] Q-DEFORMED JACOBI IDENTITY, Q-OSCILLATORS AND Q-DEFORMED INFINITE-DIMENSIONAL ALGEBRAS [J].

CHAICHIAN, M ;

KULISH, P ;

LUKIERSKI, J .

PHYSICS LETTERS B, 1990, 237 (3-4) :401-406

[5]

Faddeev L.D., 1988, ALGEBRAIC ANAL, VI, P129

[6] BOSONIC REALIZATION OF THE QUANTUM SUPERALGEBRA OSPQ(1, 2N) [J].

FLOREANINI, R ;

SPIRIDONOV, VP ;

VINET, L .

PHYSICS LETTERS B, 1990, 242 (3-4) :383-386

[7] STRUCTURE OF BASIC LIE-SUPERALGEBRAS AND OF THEIR AFFINE EXTENSIONS [J].

FRAPPAT, L ;

SCIARRINO, A ;

SORBA, P .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1989, 121 (03) :457-500

[8] Q-ANALOGS OF CLIFFORD AND WEYL ALGEBRAS - SPINOR AND OSCILLATOR REPRESENTATIONS OF QUANTUM ENVELOPING-ALGEBRAS [J].

HAYASHI, T .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1990, 127 (01) :129-144

[9]

JIMBO M, 1986, LETT MATH PHYS, V11, P247, DOI 10.1007/BF00400222

[10] A Q-DIFFERENCE ANALOG OF U(G) AND THE YANG-BAXTER EQUATION [J].

JIMBO, M .

LETTERS IN MATHEMATICAL PHYSICS, 1985, 10 (01) :63-69

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