Nilpotent orbits, primitive ideals, and characteristic classes

1987 ◽  
pp. 17-32 ◽  
Author(s):  
Walter Borho
Keyword(s):  
Characteristic Classes ◽  
Nilpotent Orbits ◽  
Primitive Ideals

Nilpotent Orbits, Primitive Ideals, and Characteristic Classes

1989 ◽  
Author(s):  
W. Borho ◽  
J-L. Brylinski ◽  
R. MacPherson
Keyword(s):  
Characteristic Classes ◽  
Nilpotent Orbits ◽  
Primitive Ideals

scholarly journals Mœglin’s theorem and Goldie rank polynomials in Cartan type A

2011 ◽  
Vol 147 (6) ◽  
pp. 1741-1771 ◽  
Author(s):  
Jonathan Brundan
Keyword(s):  
Lie Algebra ◽  
Type A ◽  
Nilpotent Orbits ◽  
Cartan Type ◽  
Enveloping Algebra ◽  
Primitive Ideals

AbstractWe use the theory of finite W-algebras associated to nilpotent orbits in the Lie algebra $\mathfrak {g} = \mathfrak {gl}_N({\mathbb C})$ to give another proof of Mœglin’s theorem about completely prime primitive ideals in the enveloping algebra U(𝔤). We also make some new observations about Joseph’s Goldie rank polynomials in Cartan type A.

scholarly journals Primitive ideals and nilpotent orbits in type G2

1988 ◽  
Vol 114 (1) ◽  
pp. 81-105 ◽  
Author(s):  
T Levasseur ◽  
S.P Smith
Keyword(s):  
Nilpotent Orbits ◽  
Primitive Ideals

Characteristic Classes and Primitive Ideals

1989 ◽  
pp. 95-123
Author(s):  
W. Borho ◽  
J-L. Brylinski ◽  
R. MacPherson
Keyword(s):  
Characteristic Classes ◽  
Primitive Ideals

On the Buchstaber Subring in MSp∗

1998 ◽  
Vol 5 (5) ◽  
pp. 401-414
Author(s):  
M. Bakuradze
Keyword(s):  
Tensor Product ◽  
Characteristic Classes ◽  
Generalized Quaternion ◽  
Symplectic Cobordisms

Abstract A formula is given to calculate the last n number of symplectic characteristic classes of the tensor product of the vector Spin(3)- and Sp(n)-bundles through its first 2n number of characteristic classes and through characteristic classes of Sp(n)-bundle. An application of this formula is given in symplectic cobordisms and in rings of symplectic cobordisms of generalized quaternion groups.

Poisson primitive ideals of a Poisson order

2021 ◽  
pp. 1-10
Author(s):  
Y. Van Huynh ◽  
Sei-Qwon Oh ◽  
Hanna Sim
Keyword(s):  
Primitive Ideals

On killing characteristic classes by cobordism

1979 ◽  
Vol 29 (1) ◽  
pp. 85-92 ◽  
Author(s):  
Stavros Papastavridis
Keyword(s):  
Characteristic Classes
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