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Particle exchange statistics beyond fermions and bosons. [PDF]
NatureWang Z, Hazzard KRA.
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Unsupervised representation learning of Kohn-Sham states and consequences for downstream predictions of many-body effects. [PDF]
Nat CommunHou B, Wu J, Qiu DY.
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Symplectic Geometry of Teichmüller Spaces for Surfaces with Ideal Boundary. [PDF]
Commun Math PhysAlekseev A, Meinrenken E.
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Harmonic weak Maass forms and periods II. [PDF]
Math AnnAlfes C, Bruinier JH, Schwagenscheidt M.
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Deformations of Lie group and Lie algebra representations
Journal of Mathematical Physics, 1993A complete study of deformations of Lie group and Lie algebra representations, including differentiability and integrability results, is given. Adapted results are given in the semisimple case. A notion of induced deformations is introduced. Various examples are given, including deformations of indecomposable representations.
Lesimple, Marc, Pinczon, Georges
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Multivectorial representation of Lie groups [PDF]
International Journal of Theoretical Physics, 1991 In vector spaces of dimension n = p + q a multivector (Clifford) algebra C(p,q) can be constructed. In this paper a multivector C(p,q) representation, not restricted to the Bivector subalgebra C{sup 2}(p,q), is developed for some of the Lie groups more frequently used in physics.
Suemi Rodríguez-Romo, Jaime Keller
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1996
With ξ = (ξ1,…,ξ d ), {ξ i } a basis for the Lie algebra ℊ, a basis for the universal enveloping algebra u(ℊ) is given by $$\left[\kern-0.15em\left[ \text{n} \right]\kern-0.15em\right] = \xi ^n = \xi _1^{n1} \cdots \xi _d^{nd}$$ where the product is ordered, since the ξ i do not commute in general.
René Schott, Philip Feinsilver
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With ξ = (ξ1,…,ξ d ), {ξ i } a basis for the Lie algebra ℊ, a basis for the universal enveloping algebra u(ℊ) is given by $$\left[\kern-0.15em\left[ \text{n} \right]\kern-0.15em\right] = \xi ^n = \xi _1^{n1} \cdots \xi _d^{nd}$$ where the product is ordered, since the ξ i do not commute in general.
René Schott, Philip Feinsilver
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1989
In this chapter we deal with differentiable functions and maps. Differentiability will always be understood as infinite differentiability, i.e., the existence of partial derivatives of arbitrarily high order.
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In this chapter we deal with differentiable functions and maps. Differentiability will always be understood as infinite differentiability, i.e., the existence of partial derivatives of arbitrarily high order.
openaire +2 more sources