Springer Monographs in Mathematics - Classical Lie Algebras at Infinity
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9783030896591, 9783030896607

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Finite-Dimensional Lie Algebras

Springer Monographs in Mathematics - Classical Lie Algebras at Infinity ◽

10.1007/978-3-030-89660-7_1 ◽

2022 ◽

pp. 3-9

Author(s):

Ivan Penkov ◽

Crystal Hoyt

Keyword(s):

Lie Algebras ◽

Finite Dimensional ◽

Finite Dimensional Lie Algebras

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Tensor Modules of $$\mathfrak {sl}(\infty )$$ , $$\mathfrak {o}(\infty )$$ , $$\mathfrak {sp}(\infty )$$

Springer Monographs in Mathematics - Classical Lie Algebras at Infinity ◽

10.1007/978-3-030-89660-7_7 ◽

2021 ◽

pp. 89-124

Author(s):

Ivan Penkov ◽

Crystal Hoyt

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Finite-Dimensional Lie Superalgebras

Springer Monographs in Mathematics - Classical Lie Algebras at Infinity ◽

10.1007/978-3-030-89660-7_2 ◽

2021 ◽

pp. 11-30

Author(s):

Ivan Penkov ◽

Crystal Hoyt

Keyword(s):

Lie Superalgebras ◽

Finite Dimensional

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Generalized Harish-Chandra Modules

Springer Monographs in Mathematics - Classical Lie Algebras at Infinity ◽

10.1007/978-3-030-89660-7_9 ◽

2021 ◽

pp. 159-184

Author(s):

Ivan Penkov ◽

Crystal Hoyt

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The Bott–Borel–Weil Theorem

Springer Monographs in Mathematics - Classical Lie Algebras at Infinity ◽

10.1007/978-3-030-89660-7_10 ◽

2021 ◽

pp. 187-226

Author(s):

Ivan Penkov ◽

Crystal Hoyt

Keyword(s):

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Root-Reductive Lie Algebras

Springer Monographs in Mathematics - Classical Lie Algebras at Infinity ◽

10.1007/978-3-030-89660-7_3 ◽

2021 ◽

pp. 31-40

Author(s):

Ivan Penkov ◽

Crystal Hoyt

Keyword(s):

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General Cartan, Borel and Parabolic Subalgebras of $$\mathfrak {gl} (\infty )$$ and $$\mathfrak {sl}(\infty )$$

Springer Monographs in Mathematics - Classical Lie Algebras at Infinity ◽

10.1007/978-3-030-89660-7_6 ◽

2021 ◽

pp. 69-85

Author(s):

Ivan Penkov ◽

Crystal Hoyt

Keyword(s):

Parabolic Subalgebras

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Splitting Borel Subalgebras of $$\mathfrak {sl} (\infty )$$ , $$\mathfrak {o}(\infty )$$ , $$\mathfrak {sp}(\infty )$$ and Generalized Flags

Springer Monographs in Mathematics - Classical Lie Algebras at Infinity ◽

10.1007/978-3-030-89660-7_5 ◽

2021 ◽

pp. 55-68

Author(s):

Ivan Penkov ◽

Crystal Hoyt

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Two Generalizations

Springer Monographs in Mathematics - Classical Lie Algebras at Infinity ◽

10.1007/978-3-030-89660-7_4 ◽

2021 ◽

pp. 41-53

Author(s):

Ivan Penkov ◽

Crystal Hoyt

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Weight Modules

Springer Monographs in Mathematics - Classical Lie Algebras at Infinity ◽

10.1007/978-3-030-89660-7_8 ◽

2021 ◽

pp. 125-158

Author(s):

Ivan Penkov ◽

Crystal Hoyt

Keyword(s):

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