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[PDF] Top 20 On the Quasi Hyperbolic Kac Moody Algebra QHA7(2)

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On the Quasi Hyperbolic Kac Moody Algebra QHA7(2)

On the Quasi Hyperbolic Kac Moody Algebra QHA7(2)

... of Kac- Moody algebra [2],[3]. Kac [2], introduced the concepts of strictly imaginary roots for Kac-Moody ...of Kac- Moody algebras possessing strictly imaginary ... See full document

6

The Hyperbolic Kac-Moody Lie Algebra of Type G_2^(1) and its Root Multiplicities.

The Hyperbolic Kac-Moody Lie Algebra of Type G_2^(1) and its Root Multiplicities.

... In this chapter we present some well known theorems of general hyperbolic Kac-Moody algebras, as well as some new results. Together these results are instrumental in our exploration of level 1, 2, ... See full document

135

An Insight into the Indefinite Super Hyperbolic GKM Algebra Hale

An Insight into the Indefinite Super Hyperbolic GKM Algebra Hale

... Generalized Kac-Moody algebra (abbreviated as GKM algebra) 1 ...of Kac-Moody ...and hyperbolic types and also computed the root multiplicities for the same 5,6,7,8,9 ... See full document

9

A Study on the Root Systems and Dynkin diagrams associated with QHA2(1)

A Study on the Root Systems and Dynkin diagrams associated with QHA2(1)

... graded Kac-Moody algebras of quasi hyperbolic type in [17 - ...associated Quasi affine Kac Moody algebras QAC 2(1) was ... See full document

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Root System and Dynkin Diagrams for the General Class of Indefinite Quasi Affine Kac Moody Algebras QAG2(1)

Root System and Dynkin Diagrams for the General Class of Indefinite Quasi Affine Kac Moody Algebras QAG2(1)

... of Kac Moody algebras was developed simultaneously and independently by Kac and Moody in 1968 ...([5],[9]). Kac Moody algebras are broadly classified into finite, affine and ... See full document

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Root Multiplicities of the Indefinite Type Kac-Moody Algebra HD_n^(1).

Root Multiplicities of the Indefinite Type Kac-Moody Algebra HD_n^(1).

... and letting n vary. All the formulas we have seen have been polynomials in n of degree less than l, though this conjecture has not been proven. Another approach would be to fix n, k and letting l vary. It was conjectured ... See full document

81

SOME PROPERTIES OF HYPERBOLIC CONTACT MANIFOLD IN A QUASI SASAKIAN MANIFOLD

SOME PROPERTIES OF HYPERBOLIC CONTACT MANIFOLD IN A QUASI SASAKIAN MANIFOLD

... The hyperbolic contact manifold was given by Sasaki (1960), A. Al-Aqeel, A. Hamoli and M. D. Upadhyay (1987) have studied some properties of such manifold.CR-submanifold of a Kahlerian manifold has been defined by ... See full document

8

D(1)6 -Geometric Crystal corresponding to the Dynkin spin node i = 6 and its ultra-discretization.

D(1)6 -Geometric Crystal corresponding to the Dynkin spin node i = 6 and its ultra-discretization.

... G. Kac and Robert V. Moody around ...of Kac-Moody Lie algebras: finite type, affine type, and indefinite ...symmetrizable Kac-Moody Lie ...a Kac-Moody Lie ... See full document

151

Modeling Alternatives to Exponential Discounting

Modeling Alternatives to Exponential Discounting

... suggested quasi-hyperbolic and hyperbolic models that in part ac- count for these ...under quasi-hyperbolic discounting, cooperation emerges as an SPE at a higher level of the discount ... See full document

70

An Extension of Poincare Model of Hyperbolic Geometry with Gyrovector Space Approach

An Extension of Poincare Model of Hyperbolic Geometry with Gyrovector Space Approach

... of hyperbolic geometry just as vector spaces provide the algebraic setting for Euclidean ...the hyperbolic geometry of the Poincaré model to the whole plane C in which the unique geodesic through two given ... See full document

12

On the product rule for the hyperbolic scator algebra

On the product rule for the hyperbolic scator algebra

... The space A may be understood as a commutative analogue of the geometric algebra or the Clifford algebra [11], where vectors commute only when they are parallel (and orthogonal vectors anti-commute). The ... See full document

7

Novel Kac-Moody-type affine extensions of non-crystallographic Coxeter groups

Novel Kac-Moody-type affine extensions of non-crystallographic Coxeter groups

... the Kac- Moody algebra context, the generalised Cartan matrix entries are integers, as they appear as powers of the adjoint action in the Chevalley-Serre ...no Kac-Moody algebras exist, ... See full document

23

Robinson on Moody

Robinson on Moody

... Miss Brower, a native of Wilkes-Barre and an early devotee of Robinson, had no personal acquaintance with Moody, so it may be presumed that Robinson wrote with absolute freedom.. This is[r] ... See full document

9

Affine Kac Moody groups : bounded presentations and subgroup growth

Affine Kac Moody groups : bounded presentations and subgroup growth

... To proceed like we did in the previous chapter we will need a result analogous to Theorem D. Recall that for subspaces U and V of a Lie algebra g this result placed an upper bound on the codimension of [U, V ] in ... See full document

123

Moody and Robinson

Moody and Robinson

... In "Gloucester Moors," Robinson finds "occasional and obnox- ious use of archaic monstrosities." One passage is "too 'crea- tive'-not to say feminine and illogical,&#[r] ... See full document

11

2D Kac-Moody symmetry of 4D Yang-Mills theory

2D Kac-Moody symmetry of 4D Yang-Mills theory

... non-constant Kac-Moody transformations and the large gauge symmetry is spontaneously broken, with the soft gluons being the corresponding Goldstone ... See full document

20

Investor Protection and Capital Expenditures under Endogenous Time Inconsistency

Investor Protection and Capital Expenditures under Endogenous Time Inconsistency

... The current management team would be loath to engage in a costly project for two possible reasons: 1) at lower levels of insider ownership, the implementation of a costly project will limit the amount of cash flow that ... See full document

13

Vol 7, No 6 (2016)

Vol 7, No 6 (2016)

... enlarged quasi associative ideal and associative ideal and a fuzzy quasi associative ideal and fuzzy associative ideal in ...enlarged quasi associative ideal, associative ideal and ... See full document

11

PP 2002 10: 
  Duals of subdirectly irreducible modal algebras

PP 2002 10: Duals of subdirectly irreducible modal algebras

... R ? uv iff for all a ∈ v there is some n ∈ ω such that 3 n a ∈ u. (2) Example 2.3 It is instructive to have a somewhat closer look at Sambin’s example of an s.i. algebra of which the dual Kripke frame is not ... See full document

8

On Some Strong and Δ- Convergence Results for SKC Mappings in Hyperbolic Spaces

On Some Strong and Δ- Convergence Results for SKC Mappings in Hyperbolic Spaces

... Abstract: The aim of this paper is to prove some results on strong and △-convergence of S-iterative scheme for SKC mappings in hyperbolic spaces. The results presented here extend and improve the results of ... See full document

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