A note on the transformation coefficients between the standard and non-standard representations

Suryanarayana, Ch.; Rao, Murali

doi:10.1088/0305-4470/15/7/013

Cited by 11 publications

(5 citation statements)

References 3 publications

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“…Horie101 presented a recursive technique for obtaining the transformation matrix. Suryanarayana and Kondala Rao102 presented a closed formula for representations of the form [2 a 1 n −2 a ]. Katriel and Novoselsky103 have studied of multicluster systems of identical particles in a spherically symmetrical potential with each cluster associated with a Yamanouchi symbol specifying permutational symmetry.…”

Section: Young Diagrams and Tableaux Yamanouchi Symbols And Branchinmentioning

confidence: 99%

β₂‐glycoprotein i is a cofactor for tissue plasminogen activator–mediated plasminogen activation

Chun-ya¹,

Gao²,

Xie³

et al. 2009

Arthritis & Rheumatism

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Regulation of the conversion of plasminogen to plasmin by tissue-type plasminogen activator (t-PA) is critical in the control of fibrin deposition. While several plasminogen activators have been described, soluble plasma cofactors that stimulate fibrinolysis have not been characterized. Here, we report that the abundant plasma glycoprotein, β2-glycoprotein I (β2GPI), stimulates t-PA–dependent plasminogen activation in the fluid phase and within a fibrin gel. The region within β2GPI responsible for stimulating t-PA activity is at least partially contained within β2GPI domain V. β2GPI bound t-PA with high affinity (Kd ~ 20 nM), stimulated t-PA amidolytic activity, and caused an overall 20-fold increase in the catalytic efficiency (kcat/Km) of t-PA–mediated conversion of Glu-plasminogen to plasmin. Moreover, depletion of β2GPI from plasma led to diminished rates of clot lysis, with restoration of normal lysis rates following β2GPI repletion. Finally, stimulation of t-PA–mediated plasminogen activity by β2GPI was inhibited by monoclonal anti-β2GPI antibodies, as well as by anti-β2GPI antibodies from patients with antiphospholipid syndrome (APS). These findings suggest that β2GPI may be an endogenous regulator of fibrinolysis. Impairment of β2GPI-stimulated fibrinolysis by anti-β2GPI antibodies may contribute to the development of thrombosis in patients with APS.

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Section: Young Diagrams and Tableaux Yamanouchi Symbols And Branchinmentioning

confidence: 99%

β₂‐glycoprotein i is a cofactor for tissue plasminogen activator–mediated plasminogen activation

Chun-ya¹,

Gao²,

Xie³

et al. 2009

Arthritis & Rheumatism

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“…Numerical methods [15][16][17] exist to calculate the coefficients but these methods require non-direct operations such as diagonalization or recursion and as such provide little insight into the structure of the transformations. Closed algebraic formulae have only been derived in some special cases [18][19][20]. In [21,22] a combinatorial algorithm is provided allowing one to calculate split-standard transformation coefficients even in the presence of multiplicities in the product S n × S m .…”

Section: Introductionmentioning

confidence: 99%

On subgroup adapted bases for representations of the symmetric group

Koch¹,

Ives²,

Stephanou³

2012

J. Phys. A: Math. Theor.

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The split basis of an irreducible representation of the symmetric group, Sn + m, is the basis which is adapted to direct product subgroups of the form Sn × Sm. In this paper, we have calculated symmetric group subduction coefficients relating the standard Young–Yamanouchi basis for the symmetric group to the split basis by means of a novel version of the Schur–Weyl duality. We have also directly obtained matrix representations in the split basis using these techniques. The advantages of this approach are that we obtain analytical expressions for the subduction coefficients and matrix representations and directly resolve issues of multiplicity in the subduction of Sn × Sm irreducible representations from Sn + m irreducible representations. Our method is applicable to Sn + m irreducible representations labelled by Young diagrams with large row length differences. We provide evidence for a systematic expansion in the inverse row length difference and tools to compute the leading contribution, which is exact when row length differences are infinite.

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“…The main goal to give explicit and general closed algebraic formulas has not been achieved. Only some special cases have been solved [20,21,22]. There are numerical methods [23,24,25] which are used to approach the issue, but no insight into the structure of the trasformation coefficients can be obtained.…”

Section: Introductionmentioning

confidence: 99%

Selection and identity rules for subductions of type A quantum Iwahori-Hecke algebras

Chilla¹

2007

Journal of Mathematical Physics

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This paper is concerned with the subduction problem of type A quantum Iwahori-Hecke algebras CH(S f , q 2 ) with a real deformation parameter q, i.e. the problem of decomposing irreducible representations of such algebras as direct sum of irreducible representations of the subalgebras CH(S f 1 , q 2 ) × CH(S f 2 , q 2 ), with f 1 + f 2 = f . After giving a suitable combinatorial description for the subduction issue, we provide a selection rule, based on the Richardson-Littlewood criterion, which allows to determine the vanishing coupling coefficients between standard basis vectors for such representations, and we also present an equivariance condition for the subduction coefficients. Such results extend those ones corresponding to the subduction problem in symmetric group algebras CS f ↓ CS f 1 × CS f 2 which are obtained by q approaching the value 1.

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A note on the transformation coefficients between the standard and non-standard representations

Cited by 11 publications

References 3 publications

β₂‐glycoprotein i is a cofactor for tissue plasminogen activator–mediated plasminogen activation

β₂‐glycoprotein i is a cofactor for tissue plasminogen activator–mediated plasminogen activation

On subgroup adapted bases for representations of the symmetric group

Selection and identity rules for subductions of type A quantum Iwahori-Hecke algebras

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A note on the transformation coefficients between the standard and non-standard representations

Cited by 11 publications

References 3 publications

β2‐glycoprotein i is a cofactor for tissue plasminogen activator–mediated plasminogen activation

β2‐glycoprotein i is a cofactor for tissue plasminogen activator–mediated plasminogen activation

On subgroup adapted bases for representations of the symmetric group

Selection and identity rules for subductions of type A quantum Iwahori-Hecke algebras

Contact Info

Product

Resources

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β₂‐glycoprotein i is a cofactor for tissue plasminogen activator–mediated plasminogen activation

β₂‐glycoprotein i is a cofactor for tissue plasminogen activator–mediated plasminogen activation