Invariant differential operators for non-compact Lie groups: Parabolic subalgebras

被引：24
作者：
Dobrev, V. K. [1 ,2 ]
机构：
[1] Bulgarian Acad Sci, Inst Nucl Res & Nucl Energy, BU-1784 Sofia, Bulgaria
[2] Abdus Salam Int Ctr Theoret Phys, I-34014 Trieste, Italy
来源：
REVIEWS IN MATHEMATICAL PHYSICS | 2008年 / 20卷 / 04期
关键词：
invariant differential operators; non-compact Lie groups; parabolic subalgebras;
D O I：
10.1142/S0129055X08003341
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In the present paper, we start the systematic explicit construction of invariant differential operators by giving explicit description of one of the main ingredients - the cuspidal parabolic subalgebras. We explicate also the maximal parabolic subalgebras, since these are also important even when they are not cuspidal. Our approach is easily generalized to the supersymmetric and quantum group settings and is necessary for applications to string theory and integrable models.
引用
收藏
页码：407 / 449
页数：43
相关论文
共 76 条
  • [11] DIMITROV I, 1998, TRANSFORM GROUPS, V3, P241
  • [12] Dixmier J., 1977, -algebras
  • [13] Invariant differential operators and characters of the AdS4 algebra
    Dobrev, V. K.
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2006, 39 (20): : 5995 - 6020
  • [14] Dobrev V. K., 1978, Reports on Mathematical Physics, V13, P233, DOI 10.1016/0034-4877(78)90054-X
  • [15] Dobrev V.K., 1977, LECT NOTES PHYS, V63
  • [16] Dobrev V. K., 1988, REP MATH PHYS, V25, P159, DOI DOI 10.1016/0034-4877(88)90050-X
  • [17] ALL POSITIVE ENERGY UNITARY IRREDUCIBLE REPRESENTATIONS OF EXTENDED CONFORMAL SUPERSYMMETRY
    DOBREV, VK
    PETKOVA, VB
    [J]. PHYSICS LETTERS B, 1985, 162 (1-3) : 127 - 132
  • [18] INDUCED REPRESENTATIONS AND INVARIANT INTEGRAL-OPERATORS FOR SU(2,2)
    DOBREV, VK
    MOYLAN, P
    [J]. FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS, 1994, 42 (04): : 339 - 392
  • [19] ON THE GROUP-THEORETICAL APPROACH TO EXTENDED CONFORMAL SUPERSYMMETRY - CLASSIFICATION OF MULTIPLETS
    DOBREV, VK
    PETKOVA, VB
    [J]. LETTERS IN MATHEMATICAL PHYSICS, 1985, 9 (04) : 287 - 298
  • [20] GROUP-THEORETICAL APPROACH TO EXTENDED CONFORMAL SUPERSYMMETRY - FUNCTION-SPACE REALIZATIONS AND INVARIANT DIFFERENTIAL-OPERATORS
    DOBREV, VK
    PETKOVA, VB
    [J]. FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS, 1987, 35 (07): : 537 - 572
12345678