✦ LIBER ✦

On Tangent Spaces to Schubert Varieties, II

✍ Scribed by V Lakshmibai

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 232 KB
Volume: 224
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1999.7999

No coin nor oath required. For personal study only.

✦ Synopsis

We prove results on the tangent spaces to Schubert varieties in G/B for G classical. We give a description of the tangent space to a Schubert variety X w at a T -fixed point e τ in terms of the root system. We also relate this result to multiplicities of certain weights in the fundamental representations of G.

📜 SIMILAR VOLUMES

On Tangent Spaces to Schubert Varieties

✍ V. Lakshmibai 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 193 KB

We prove the results on the tangent spaces to Schubert varieties announced in w Ž . x V. Lakshmibai, Math. Res. Lett. 2 1995 , 473᎐477 for G classical. We give two descriptions of the tangent space to a Schubert variety at id. The first description is in terms of the root system, and the second one

Flows Associated to Tangent Processes on

Flows Associated to Tangent Processes on the Wiener Space

✍ Fernanda Cipriano; Ana Bela Cruzeiro 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 174 KB

We prove, under certain regularity assumptions on the coefficients, that tangent processes (namely semimartingales d! { =a dx { +b d{ where a is an antisymmetric matrix) generate flows on the classical Wiener space. Main applications of the result can be found in the study of the geometry of path sp

On the index of a vector field tangent t

On the index of a vector field tangent to a hypersurface with non-isolated zero in the embedding space

✍ Oliver Klehn 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 140 KB 👁 1 views

## Abstract We give a generalization of an algebraic formula of Gomez‐Mont for the index of a vector field with isolated zero in (ℂ^__n__^, 0) and tangent to an isolated hypersurface singularity. We only assume that the vector field has an isolated zero on the singularity here.

On traces for functional spaces related

On traces for functional spaces related to Maxwell's equations Part II: Hodge decompositions on the boundary of Lipschitz polyhedra and applications

✍ A. Buffa; P. Ciarlet Jr. 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 190 KB 👁 2 views

Nonlinear regression by visualization of

Nonlinear regression by visualization of the sum of residual space applied to the integrated copolymerization equation with errors in all variables. II. Application to the system methyl methacrylate-α-methylene-γ-butyrolactone using on-line Raman spectroscopy

✍ Mark Van Den Brink; Wilfred Smulders; Alex M. Van Herk; Anton L. German 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 225 KB 👁 2 views

The copolymerization of ␣-methylene-␥-butyrolactone and methyl methacrylate in DMSO was studied by on-line Raman spectroscopy. Reactivity ratios for this system were estimated from the in situ conversion measurements. The estimates are in good agreement with estimates obtained from low-conversion ex