scholarly journals Character formulas and spectra of compact nilmanifolds

1976 ◽  
Vol 21 (2) ◽  
pp. 123-154 ◽  
Author(s):  
Lawrence Corwin ◽  
Frederick P. Greenleaf
Keyword(s):  
Character Formulas ◽  
Compact Nilmanifolds

scholarly journals Typical irreducible characters of generalized quantum groups

2020 ◽  
pp. 2140014
Author(s):  
Hiroyuki Yamane
Keyword(s):  
Quantum Groups ◽  
Lie Superalgebras ◽  
Irreducible Characters ◽  
Irreducible Modules ◽  
Character Formulas ◽  
Type Character ◽  
Definition Of ◽  
Quantum Superalgebras

We introduce the definition of the typical irreducible modules of the generalized quantum groups, and prove the Weyl–Kac-type formulas of their characters. As a by-product, we obtain the Weyl–Kac-type character formulas of the typical irreducible modules of the quantum superalgebras associated with the basic classical Lie superalgebras, which is explained in Introduction.

scholarly journals Remarks on Hodge numbers and invariant complex structures of compact nilmanifolds

2016 ◽  
Vol 3 (1) ◽  
Author(s):  
Takumi Yamada
Keyword(s):  
Lie Group ◽  
Complex Structure ◽  
Complex Structures ◽  
Nilpotent Lie Group ◽  
Hodge Numbers ◽  
Compact Nilmanifolds ◽  
Simply Connected

AbstractIf N is a simply connected real nilpotent Lie group with a Γ-rational complex structure, where Γ is a lattice in N, then for each s, t.We study relations between invariant complex structures and Hodge numbers of compact nilmanifolds from a viewpoint of Lie algberas.

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