Semibounded representations and invariant cones in infinite dimensional Lie algebras [PDF]
A unitary representation of a, possibly infinite dimensional, Lie group $G$ is called semi-bounded if the corresponding operators $i\dd\pi(x)$ from the derived representations are uniformly bounded from above on some non-empty open subset of the Lie ...
Neeb, Karl-Hermann
core +4 more sources
On gapped phases with a continuous symmetry and boundary operators
We discuss the role of compact symmetry groups, G, in the classification of gapped ground state phases of quantum spin systems. We consider two representations of G on infinite subsystems.
Bachmann, Sven, Nachtergaele, Bruno
core +1 more source
Representations of classical Lie groups and quantized free convolution [PDF]
We study the decompositions into irreducible components of tensor products and restrictions of irreducible representations of classical Lie groups as the rank of the group goes to infinity.
Alexey Bufetov, M. Aissen, Vadim Gorin
core +2 more sources
Markov Measures on Young Tableaux and Induced Representations of the Infinite Symmetric Group [PDF]
We show that the class of inductive limits of the representations of finite symmetric groups with simple spectrum coinsides with the class of Markov representations of the infinite symmetric group associated with Markov measures on the space of infinite Young tableaux.
Vershik, A. M., Tsilevich, N. V.
openaire +2 more sources
The newfound relationship between extrachromosomal DNAs and excised signal circles
Extrachromosomal DNAs (ecDNAs) contribute to the progression of many human cancers. In addition, circular DNA byâproducts of V(D)J recombination, excised signal circles (ESCs), have roles in cancer progression but have largely been overlooked. In this Review, we explore the roles of ecDNAs and ESCs in cancer development, and highlight why these ...
Dylan Casey, Zeqian Gao, Joan Boyes
wiley +1 more source
Large N and large representations of Schur line defect correlators
We study the large N and large representation limits of the Schur line defect correlators of the Wilson line operators transforming in the (anti)symmetric, hook and rectangular representations for đ© = 4 U(N) super Yang-Mills theory.
Yasuyuki Hatsuda, Tadashi Okazaki
doaj +1 more source
In situ molecular organization and heterogeneity of the Legionella Dot/Icm T4SS
We present a nearly complete in situ model of the Legionella Dot/Icm type IV secretion system, revealing its central secretion channel and identifying new components. Using cryoâelectron tomography with AIâbased modeling, our work highlights the structure, variability, and mechanism of this complex nanomachine, advancing understanding of bacterial ...
PrzemysĆaw Dutka +11 more
wiley +1 more source
Symmetric groups and checker triangulated surfaces
We consider triangulations of surfaces with edges painted three colors so that edges of each triangle have different colors. Such structures arise as Belyi data (or Grothendieck dessins d'enfant), on the other hand they enumerate pairs of permutations ...
Neretin, Yury A.
core +2 more sources
Peroxidasin enables melanoma immune escape by inhibiting natural killer cell cytotoxicity
Peroxidasin (PXDN) is secreted by melanoma cells and binds the NK cell receptor NKG2D, thereby suppressing NK cell activation and cytotoxicity. PXDN depletion restores NKG2D signaling and enables effective NK cellâmediated melanoma killing. These findings identify PXDN as a previously unrecognized immune evasion factor and a potential target to improve
HsuâMin Sung +17 more
wiley +1 more source
Relations between unitary representations of diffeomorphism groups and those of the infinite symmetric group or of related permutation groups [PDF]
The authors study the interrelations between unitary representations of two kinds of groups. One of them is the group \(G=\text{Diff}_0 (M)\) of diffeomorphisms with compact support on a manifold of class \(C^{(n)}\), \(1\leq n\leq\infty\), and the others are certain permutation groups \(S\) contained in the group \(\widetilde \Sigma_\infty\) of all ...
Hirai, Takeshi, Shimomura, Hiroaki
openaire +2 more sources

