Co-invariants of Lie algebras of vector fields on algebraic varieties by Etingof, Pavel I, Schedler, Travis

“…We prove that the space of coinvariants of functions on an affine variety by a Lie algebra of vector fields whose flow generates finitely many leaves is finite-dimensional. …”
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Z/m-graded Lie algebras and perverse sheaves, II by Lusztig, George, Yun, Zhiwei

“…We consider a fixed block for the equivariant perverse sheaves with nilpotent support on the 1-graded component of a semisimple cyclically graded Lie algebra. We give a combinatorial parametrization of the simple objects in that block.…”
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Z/m-graded Lie algebras and perverse sheaves, I by Lusztig, George, Yun, Zhiwei

“…We give a block decomposition of the equivariant derived category arising from a cyclically graded Lie algebra. This generalizes certain aspects of the generalized Springer correspondence to the graded setting.…”
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A Tannakian Interpretation of the Elliptic Infinitesimal Braid Lie Algebras by Enriquez, Benjamin, Etingof, Pavel I

“…The pro-unipotent completion of the pure braid group of n points on a genus 1 surface has been shown to be isomorphic to an explicit pro-unipotent group with graded Lie algebra using two types of tools: (a) minimal models (Bezrukavnikov), (b) the choice of a complex structure on the genus 1 surface, making it into an elliptic curve E, and an appropriate flat connection on the configuration space of n points in E (joint work of the authors with D. …”
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Z/m-graded Lie algebras and perverse sheaves, IV by Lusztig, George, Yun, Zhiwei

“…Let G be a reductive group over C. Assume that the Lie algebra g of G has a given grading (gj ) indexed by a cyclic group Z/m such that g0 contains a Cartan subalgebra of g. …”
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In between empathy and wonder lies the contamination that makes us human by Hsu, Yuping, S.M. Massachusetts Institute of Technology.

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Causal structures in lie groups and applications to stability of differential equations by Paneitz, Stephen Mark

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Transfer for compact lie groups, induced representations, and braid relations by Evens, Samuel R. (Samuel Robert)

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Orbital varieties and unipotent representations of classical semisimple Lie group by Pietraho, Thomas, 1973-

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Parenting by lying in childhood is associated with negative developmental outcomes in adulthood by Setoh, Peipei, Zhao, Siqi, Santos, Rachel, Heyman, Gail D., Lee, Kang

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Lying in pursuit evasion task with multi-agent reinforcement learning by Cheng, Damien Shiao Kiat

“…Communication between agents do exist within swarms and within multi-agent systems, and have been modelled during research. However, lying during communication is an area lacking in research. …”
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On the lie in hope: how hopeful do we allow ourselves to be? by Peh, Yee Jie

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What lies within : an exploration of private and public social self. by Ow, Wan Lin.

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Driving Out ISIS From Libya: What Lies Ahead? by Ahmad Saiful Rijal Hassan, Mohamed Sinan Siyech

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International Radio Broadcasting : what lies ahead for an older technology by Browne, Donald R

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EKSTRAKSI RUANG FASE KLASIK DARI GRUP LIE SIMETRI by , CAHAYA ROSYIDAN, , Dr. rer. nat. Muhammad Farchani Rosyid

“…That is finding a classical phase space of symmetry Lie group. The symmetry Lie group that been considered is SU(2)U(1). …”

Low–lying states of 184W and 184Os nuclei by Sharrad, Fadhil, Okhunov, Abdurahim, Abdullah, Hewa, Abu Kassim, Hasan

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The Banach-Lie algebra of multiplication operators on a JBW*-triple by Altwaijry, N, Edwards, C

“…The Banach-Lie algebra L (A) of multiplication operators on the JB*-triple A is introduced and it is shown that the hermitian part L (A)h of L (A) is a unital GM-space the base of the dual cone in the dual GL-space (L (A)h)* of which is affine isomorphic and weak*-homeomorphic to the state space of L (A). …”

Wherein lies the debate? Concerning whether God is a person by Page, BT

Flux Hamiltonians, Lie algebras, and root lattices with minuscule decorations by Shankar, R, Burnell, F, Sondhi, S