Minimal K-types and classification of irreducible representations of reductive Lie groups

1985 ◽  
Vol 18 (4) ◽  
pp. 333-335 ◽  
Author(s):  
D. P. Zhelobenko
Keyword(s):  
Lie Groups ◽  
Irreducible Representations ◽  
Reductive Lie Groups

scholarly journals On the Classification of Unitary Representations of Reductive Lie Groups

1998 ◽  
Vol 148 (3) ◽  
pp. 1067 ◽  
Author(s):  
Susana A. Salamanca-Riba ◽  
David A. Vogan
Keyword(s):  
Lie Groups ◽  
Unitary Representations ◽  
Reductive Lie Groups

Classification of Lie Groups with the Haagerup Property

2001 ◽  
pp. 41-61
Author(s):  
Pierre-Alain Cherix ◽  
Michael Cowling ◽  
Alain Valette
Keyword(s):  
Lie Groups ◽  
Haagerup Property

scholarly journals Characteristic Cycles and Wave Front Cycles of Representations of Reductive Lie Groups

2000 ◽  
Vol 151 (3) ◽  
pp. 1071 ◽  
Author(s):  
Wilfried Schmid ◽  
Kari Vilonen
Keyword(s):  
Wave Front ◽  
Lie Groups ◽  
Reductive Lie Groups

scholarly journals REFINING THE CLASSIFICATION OF THE IRREPS OF THE 1D N-EXTENDED SUPERSYMMETRY

2008 ◽  
Vol 23 (01) ◽  
pp. 37-51 ◽  
Author(s):  
ZHANNA KUZNETSOVA ◽  
FRANCESCO TOPPAN
Keyword(s):  
Quantum Mechanics ◽  
Extended Supersymmetry ◽  
Supersymmetric Quantum Mechanics ◽  
Irreducible Representations

The linear finite irreducible representations of the algebra of the 1D N-Extended Supersymmetric Quantum Mechanics are discussed in terms of their "connectivity" (a symbol encoding information on the graphs associated to the irreps). The classification of the irreducible representations with the same fields content and different connectivity is presented up to N ≤ 8.

Classification of 3-dimensional left-invariant almost paracontact metric structures

2017 ◽  
Vol 17 (3) ◽  
Author(s):  
Giovanni Calvaruso ◽  
Antonella Perrone
Keyword(s):  
Lie Groups ◽  
Three Dimensional ◽  
Complete Classification ◽  
Natural Assumption ◽  
Geometric Properties ◽  
3 Dimensional ◽  
Metric Structures

AbstractWe study left-invariant almost paracontact metric structures on arbitrary three-dimensional Lorentzian Lie groups. We obtain a complete classification and description under a natural assumption, which includes relevant classes as normal and almost para-cosymplectic structures, and we investigate geometric properties of these structures.

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