Sports are psycho-social activity. It has both psychological and social dimensions besides physical, physiological and technical aspects. Man's interest in sports is found among all the society of the world. Most of the nations share a common interest in sports is found among all the society of the world where interest in sport competition, especially during Olympic games, the people from all n...

The present study reports the effect of Spirulina on radiation induced hematological and biochemical alterations in Swiss albino mice. Animals of Group-I (Control, radiation alone) were exposed to gamma radiation (8 Gy), while, animals of Group-II (Experimental, Spirulina + Radiation), received Spirulina (800 mg/kg body weight) for seven consecutive days and were exposed to gamma radiation (as ...

We consider correlation functions for the Wess-Zumino-Witten model on the torus with the insertion of a Cartan element; mathematically this means that we consider the function of the form F = Tr(Φ 1 (z 1). .. Φ n (z n)q −∂ e h) where Φ i are intertwiners between Verma modules and evaluation modules over an affine Lie algebrâ g, ∂ is the grading operator in a Verma module and h is in the Cartan ...

Verma modules arise geometrically through the jets of homogeneous vector bundles. We consider in this article, the modules that arise from the semi-holonomic jets of a homogeneous vector bundle. We are particularly concerned with the case of a sphere under MMbius transformations. In this case there are immediate applications in the theory of conformally invariant diierential operators.

We consider correlation functions for the Wess-Zumino-Witten model on the torus with the insertion of a Cartan element; mathematically this means that we consider the function of the form F = Tr((1 (z 1) : : : n (z n)q ?@ e h) where i are intertwiners between Verma modules and evaluation modules over an aane Lie algebra ^ g, @ is the grading operator in a Verma module and h is in the Cartan sub...

We describe the two-sided ideals in the universal enveloping algebras of the Lie algebras of vector fields on the line and the circle which annihilate the tensor density modules. Both of these Lie algebras contain the projective subalgebra, a copy of sl2. The restrictions of the tensor density modules to this subalgebra are duals of Verma modules (of sl2) for Vec(R) and principal series modules...

A bstract We investigate and characterize the dynamics of operator growth in irrational two-dimensional conformal field theories. By employing oscillator realization Virasoro algebra CFT states, we systematically implement Lanczos algorithm evaluate Krylov complexity simple operators (primaries stress tensor) under a unitary evolution protocol. Evolution primary proceeds as flow into ‘bath desc...

Let $${\mathfrak {g}}$$ be a simple complex Lie algebra. In this paper we study the BGG category $${\mathcal {O}}_q$$ for quantum group $$U_q({\mathfrak {g}})$$ with q being root of unity in field K characteristic $$p >0$$ . We first consider modules and prove Steinberg tensor product theorem them. This result reduces problem determining corresponding irreducible characters to same finite subse...