1982
DOI: 10.1007/bf01457308
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Primitive ideals and orbital integrals in complex classical groups

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Cited by 159 publications
(211 citation statements)
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“…. , p s ∈ g (1). As the embedding U(g, e) ֒→ U(p + ) ⊗ A in [37, 2.4] is described explicitly, it is now straightforward to check that gr L (C) = 2e.…”
Section: Proofmentioning
confidence: 99%
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“…. , p s ∈ g (1). As the embedding U(g, e) ֒→ U(p + ) ⊗ A in [37, 2.4] is described explicitly, it is now straightforward to check that gr L (C) = 2e.…”
Section: Proofmentioning
confidence: 99%
“…Using [4, Planche IV] we find explicit expressions of ̟ Let g 0 be the regular Lie subalgebra of g with root system Φ 0 and let I 0 (λ) be the annihilator in U(g 0 ) of the irreducible g 0 -module of highest weight λ. Since g 0 has type D we can compute the associated variety VA(I 0 (λ)) by using the BarbaschVogan algorithm; see [1]. In fact, we found it more convenient to use the modified version of that algorithm described in [5, 5.3].…”
Section: Type (Ementioning
confidence: 99%
“…Usually, we omit to specify the set of variables on which depend the symmetric functions we are dealing with. When it proves to be necessary, this set of variables, or alphabet is denoted by A = {a 1 Here is how to obtain the ordered pair (K 0 , K 1 ), called the 2-quotient of K. Make K into a partition of even length 2n by adding if necessary a zero part. Add to K the staircase partition p 2n = (0, 1, 2,..., 2n -1).…”
Section: Symmetric Functions and Plethysmsmentioning
confidence: 99%
“…The same procedure applied to the odd parts gives the second partition K 1 . Example 2.1 Consider K = (1,1,1,3,5,5). Then Thus the 2-quotient of K is ((1,2, 3), (2)).…”
Section: Symmetric Functions and Plethysmsmentioning
confidence: 99%
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