Results 111 to 120 of about 32,895 (317)
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
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The unit group of algebra of circulant matrices [PDF]
International Journal of Group Theory, 2014 Let $Cr_{n}(F)$ denote the algebra of $n times n$ circulant matrices over the field $F$. In this paper, we study the unit group of $Cr_{n}(F_{p^m})$, where $F_{p^m}$ denotes the Galois field of order $p^{m}$, $p$ prime.
Neha Makhijani +2 more
doaj
On the Semisimplicity of Group Algebras [PDF]
Proceedings of the American Mathematical Society, 1958 In this paper we find sufficient conditions for a group algebra over a commutative ring to be semisimple. In particular, the case in which the group is abelian is solved for fields of characteristic zero, and, in a more general case, for semisimple commutative rings which are uniquely divisible by every integer.
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The Curriculum Journal, EarlyView.Abstract This study explored how lecturers in a post‐92 UK university conceptualise and enact decolonial curriculum principles within their teaching and programme design. Drawing on semi‐structured interviews with academic staff across multiple disciplines, the research adopts a qualitative, phenomenologically informed approach to examine the interplay
Reece Sohdi
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Units in $F_{2^k}D_{2n}$ [PDF]
International Journal of Group Theory, 2014 Let $F_q D_{2n}$ be the group algebra of $D_{2n}$, the dihedral group of order $2n$ over $F_q=GF(q)$. In this paper, we establish the structure of $U(F_{2^k}D_{2n})$, the unit group of $F_{2^k}D_{2n}$ and that of its normalized unitary subgroup $V_*(F_{2^
Neha Makhijani +2 more
doaj
Cuntz-Krieger-Pimsner Algebras Associated with Amalgamated Free Product Groups [PDF]
, 2000 Rui Okayasu
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IDEMPOTENTS IN GROUP ALGEBRAS [PDF]
Bulletin of the American Mathematical Society, 1962 will be called an idempotent on G. The support of a complex function ƒ on G is the set of all # £ G at which ƒ(x) 5^0. The support group of ƒ is the smallest subgroup of G which contains the support of ƒ. By methods involving Fourier transforms and the Pontryagin duality theory, the idempotents on abelian groups are completely known [2, p. 199].
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Review and prospects of shear test of bolted rock joints
Deep Underground Science and Engineering, EarlyView.The laboratory shear test equipment, test method, and numerical simulation of bolted rock joints were summarized. The shortcomings and limitations of the current research were analyzed, and the research prospects were proposed. Abstract Rock bolting is a critical approach in geotechnical engineering for supporting weak rocks.
Shulin Ren +4 more
wiley +1 more source
Epilepsia, EarlyView.Cong Fu et al. demonstrate that glymphatic system dysfunction is linked to enhanced inhibitory cortical activity using diffusion MRI and EEG. These findings highlight a mechanistic link between perivascular fluid dynamics and neuronal activity, suggesting a role for glymphatic function in maintaining cortical stability in epilepsy.
Cong Fu +11 more
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