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symplectic structure and non degenerate form

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#lie-algebras #symplectic-geometry
233
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Nilpotent/ Quotient

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#abstract-algebra #lie-algebras #nilpotence
321
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Indecomposable Lie algebras

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#linear-algebra #lie-algebras #matrix-decomposition
1.4k
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What is the lie algebra of the group of automorphisms of a lie algebra?

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#group-theory #geometry #differential-geometry #lie-groups #lie-algebras
39
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Schreier varieties and Markov properties

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#abstract-algebra #lie-algebras #semigroups #free-groups
72
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Is there a good reference for different Cartan Weyl bases for Lie algebras?

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#lie-algebras
351
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The center of the universal enveloping algebra of a nilpotent or solvable Lie algebra

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#lie-algebras
51
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Two endomorphisms, $u$ and $v$, of $\mathbb{C^n}$ such that $[u,v] = \alpha u + \beta v$ are both triangular in the same basis

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#linear-algebra #lie-algebras #alternative-proof
203
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Checking antipode on Enveloping algebra of a Lie Algebra

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#abstract-algebra #lie-algebras #hopf-algebras #quantum-groups
499
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Decomposition of universal enveloping algebra of the general linear Lie algebra

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#combinatorics #representation-theory #lie-groups #lie-algebras #homological-algebra
99
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Elements in $U(n)$

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#lie-groups #lie-algebras
541
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Highest Weight vectors in tensor product of irreducible

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#representation-theory #lie-algebras
773
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Semisimple Representation and Irreducible Representation

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#abstract-algebra #representation-theory #lie-algebras
1.3k
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Left-invariant vector fields versus right-invariant vector fields

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#lie-groups #lie-algebras #vector-fields
525
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Unipotent elements in a Lie group

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#lie-groups #lie-algebras #unipotent-matrices

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