Search Results - "Rao, Ravi A."

Ordered cyclic motifs contribute to dynamic stability in biological and engineered networks by Ma'ayan, Avi, Cecchi, Guillermo A, Wagner, John, Rao, A. Ravi, Iyengar, Ravi, Stolovitzky, Gustavo

“…Representation and analysis of complex biological and engineered systems as directed networks is useful for understanding their global structure/function…”
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A stably elementary homotopy by RAO, RAVI A.

“…If R is an affine algebra of dimension d over a perfect C_1 field and \sigma \in SL_{d + 1}(R) is a stably elementary matrix, we show that there is a stably…”
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Local-global principle for transvection groups by BAK, A., BASU, RABEYA, RAO, RAVI A.

“…In this article we extend the validity of Suslin's Local-Global Principle for the elementary transvection subgroup of the general linear group GL_n(R), the…”
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Some remarks on symplectic injective stability by BASU, RABEYA, CHATTOPADHYAY, PRATYUSHA, RAO, RAVI A.

“…It is shown that if A over an infinite field of cohomological dimension at most one, with (d +1)! A = A, then Um _{d+1}(A) = e_1\textrm{Sp}_{d+1}(A) is a…”
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A phase II study of ABT-510 (thrombospondin-1 analog) for the treatment of metastatic melanoma by Markovic, Svetomir N, Suman, Vera J, Rao, Ravi A, Ingle, James N, Kaur, Judith S, Erickson, Lori A, Pitot, Henry C, Croghan, Gary A, McWilliams, Robert R, Merchan, Jaime, Kottschade, Lisa A, Nevala, Wendy K, Uhl, Cindy B, Allred, Jacob, Creagan, Edward T

“…Thrombospondins are natural inhibitors of angiogenesis, tumor metastases, and tumor growth (melanoma). ABT-510 is a synthetic analog of thrombospondin-1, well…”
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A group structure on squares by Rao, Ravi A., Jose, Selby

“…We show that there is an abelian group structure on the orbit set of ``squares'' of unimodular rows of length n over a commutative ring of stable dimension d…”
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A structure theorem for the elementary unimodular vector group by Jose, Selby, Rao, Ravi A.

“…Given a pair of vectors v,w\in R^{r+1} with \langle v,w\rangle=v·w^T=1, A. Suslin constructed a matrix S_r(v,w)\in Sl_{2^r}(R). We study the subgroup SUm_r(R)…”
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Suslin matrices and the Euler characteristic by Jose, Selby, Rao, Ravi A.

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Generalised homotopy and commutativity principle by Rao, Ravi A., Sharma, Sampat

“…In this paper, we study the action of special n×n linear (resp. symplectic) matrices which are homotopic to identity on the right invertible n×m matrices. We…”
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On a theorem of Keune by Chakraborty, Kuntal, Rao, Ravi A.

“…In this paper we first prove that for regular local ring R containing an infinite field, the natural map SLr(R[X],(X2−X)/Er(R[X],(X2−X))→SK1(R[X],(X2−X)) is an…”
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Equality of elementary linear and symplectic orbits with respect to an alternating form by Chattopadhyay, Pratyusha, Rao, Ravi A.

“…An elementary symplectic group w.r.t. an invertible alternating matrix is defined. It is shown that the group of symplectic transvections of a symplectic…”
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Homotopy and commutativity principle by Rao, Ravi A., Sharma, Sampat

“…We give evidence for the principle that a (special linear, symplectic, orthogonal) matrix over a commutative ring which is homotopic to the identity will…”
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A nice group structure on the orbit space of unimodular rows-II by Gupta, Anjan, Garge, Anuradha, Rao, Ravi A.

“…We establish an Excision type theorem for niceness of group structure on the orbit space of unimodular rows of length n modulo elementary action. This permits…”
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Suslin forms and the Hodge star operator by Jose, Selby, Rao, Ravi A.

“…We show that the Suslin forms are themselves a product of Suslin matrices (over the integers) and that their corresponding linear transformation is the Hodge…”
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An Abelian Group Structure on Orbits of “Unimodular Squares” in Dimension 3 by Rao, Ravi A

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Injective stability for K 1 of classical modules by Basu, Rabeya, Rao, Ravi A.

“…In Rao (1994) [14], the second author and W. van der Kallen showed that the injective stabilization bound for K 1 of the general linear group is d + 1 over a…”
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Injective stability for K1 of the orthogonal group by Rao, Ravi A., Basu, Rabeya, Jose, Selby

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Generalised homotopy and commutativity principle by Rao, Ravi A, Sharma, Sampat

“…In this paper, we study the action of special $n\times n $ linear (resp. symplectic) matrices which are homotopic to identity on the right invertible $n\times…”
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Injective stability for K 1 of the orthogonal group by Rao, Ravi A., Basu, Rabeya, Jose, Selby

“…The injective stabilization bound of L.N. Vaserstein for K 1 of the orthogonal group over an affine algebra over a perfect C 1 -field is discussed…”
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Quillen–Suslin theory revisited by Rao, Ravi A., Jose, Selby

“…We partially answer a question of T.Y. Lam by obtaining partial generalized Local Global and Monic Inversion Principles for the action of the elementary…”
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