Results 111 to 120 of about 67,761 (247)

Affine varieties and lie algebras of vector fields

Manuscripta Mathematica, 1993
Let \(X, Y\subset\mathbb A^ n\) be non-empty closed subvarieties of affine space \(\mathbb A^ n\) over an algebraically closed field of characteristic zero. Let \(D_ X\), \(D_ Y\) be the Lie algebra of global vector fields on \(X\), respectively on \(Y\).
Müller, Gerd, Hauser, Herwig
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On the universal central extension of superelliptic affine Lie algebras [PDF]

, 2021
Felipe Albino dos Santos
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Integrable modules for twisted toroidal extended affine Lie algebras [PDF]

, 2020
S. Eswara Rao, Sachin S. Sharma, Punita Batra   +2 more
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Quantized affine Lie algebras and diagonalization of braid generators [PDF]

, 1994
M. D. Gould, Yao-Zhong Zhang
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Quadratic Relations of the Deformed $W$-Algebra for the Twisted Affine Lie Algebra of Type $A_{2N}^{(2)}$ [PDF]

, 2021
Takeo Kojima
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Time optimal problems on Lie groups and applications to quantum control

Communications in Analysis and Mechanics
In this paper we introduce a natural compactification of a left (right) invariant affine control system on a semi-simple Lie group $ G $ in which the control functions belong to the Lie algebra of a compact Lie subgroup $ K $ of $ G $ and we investigate ...
Velimir Jurdjevic
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Lie bialgebra structures on the extended affine Lie algebra $\widetilde{sl_2(\mathbb{C}_q)}$ [PDF]

, 2011
Ying Xu, Junbo Li
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Affine Lie algebras and product–sum identities

Journal of Algebra, 2007
A 1926 theorem of I. Schur concerns partitions of an integer \(n\) into parts congruent to \(\pm 1\pmod 6\). This leads to the consideration of the infinite product \[ \prod_{n=1}^{\infty} \frac{1}{(1-q^{6n-1})(1-q^{6n-5})}\tag{1} \] Any nontrivial rewriting of such an infinite product is potentially important as it might yield a partition identity, or,
Jing, Naihuan, Xia, Li-meng
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Local charges in involution and hierarchies in integrable sigma-models

Journal of High Energy Physics, 2017
Integrable σ-models, such as the principal chiral model, ℤ T $$ {\mathbb{Z}}_T $$ -coset models for T ∈ ℤ ≥ 2 $$ T\in {\mathbb{Z}}_{\ge 2} $$ and their various integrable deformations, are examples of non-ultralocal integrable field theories described by
S. Lacroix, M. Magro, B. Vicedo
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A recurrence relation for characters of highest weight integrable modules for affine Lie algebras [PDF]

, 2005
William J. Cook, Haisheng Li, Kailash C. Misra   +2 more
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