Results 51 to 60 of about 1,554,075 (367)
Representations of double affine lie algebras [PDF]
, 2003 We study representations of the double affine Lie algebra associated to a simple Lie algebra. We construct a family of indecomposable integrable representations and identify their irreducible quotients. We also give a condition for the indecomposable modules to be irreducible, this is analogous to a result in the representation theory of quantum affine
Thang D. Le, Vyjayanthi Chari
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Boyd-Maxwell ball packings [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 In the recent study of infinite root systems, fractal patterns of ball packings were observed while visualizing roots in affine space. In fact, the observed fractals are exactly the ball packings described by Boyd and Maxwell.
Hao Chen, Jean-Philippe Labbé
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Representation Variety for the Rank One Affine Group [PDF]
, 2021 28 pages, 3 figures.
González Prieto, José Ángel +2 more
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Efficient Representation and Approximation of Model Predictive Control Laws via Deep Learning [PDF]
IEEE Transactions on Cybernetics, 2018 We show that artificial neural networks with rectifier units as activation functions can exactly represent the piecewise affine function that results from the formulation of model predictive control (MPC) of linear time-invariant systems.
B. Karg, S. Lucia
semanticscholar +1 more source
On Minimal Affinizations of Representations of Quantum Groups [PDF]
Communications in Mathematical Physics, 2007 In this paper we study minimal affinizations of representations of quantum groups (generalizations of Kirillov-Reshetikhin modules of quantum affine algebras introduced by Chari). We prove that all minimal affinizations in types A, B, G are special in the sense of monomials.
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Twin-plane-partitions and N $$ \mathcal{N} $$ = 2 affine Yangian
Journal of High Energy Physics, 2018 The universal enveloping algebra of W $$ \mathcal{W} $$ 1+∞ is isomorphic to the affine Yangian of g l 1 $$ \mathfrak{g}{\mathfrak{l}}_1 $$ . We study the N $$ \mathcal{N} $$ = 2 supersymmetric version of this correspondence, and identify the full set of
Matthias R. Gaberdiel +2 more
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Representations of Quantum Affinizations and Fusion Product [PDF]
Transformation Groups, 2005 In this paper we study general quantum affinizations $\U_q(\hat{\Glie})$ of symmetrizable quantum Kac-Moody algebras and we develop their representation theory. We prove a triangular decomposition and we give a classication of (type 1) highest weight simple integrable representations analog to Drinfel'd-Chari-Pressley one.
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FoxO1 signaling in B cell malignancies and its therapeutic targeting
FEBS Letters, EarlyView.FoxO1 has context‐specific tumor suppressor or oncogenic character in myeloid and B cell malignancies. This includes tumor‐promoting properties such as stemness maintenance and DNA damage tolerance in acute leukemias, or regulation of cell proliferation and survival, or migration in mature B cell malignancies.
Krystof Hlavac +3 more
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Insights into PI3K/AKT signaling in B cell development and chronic lymphocytic leukemia
FEBS Letters, EarlyView.This Review explores how the phosphoinositide 3‐kinase and protein kinase B pathway shapes B cell development and drives chronic lymphocytic leukemia, a common blood cancer. It examines how signaling levels affect disease progression, addresses treatment challenges, and introduces novel experimental strategies to improve therapies and patient outcomes.
Maike Buchner
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3d field theory, plane partitions and triple Macdonald polynomials
Journal of High Energy Physics, 2019 We argue that MacMahon representation of Ding-Iohara-Miki (DIM) algebra spanned by plane partitions is closely related to the Hilbert space of a 3d field theory.
Yegor Zenkevich
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