A Survey on the Non-injectivity of the Vaserstein Symbol in Dimension Three

DOI10.1007/978-981-15-1611-5_10zbMath1442.19002OpenAlexW2999186108MaRDI QIDQ3296368

Dhvanita R. Rao, Sagar Kolte, Neena Gupta

Publication date: 7 July 2020

Published in: Leavitt Path Algebras and Classical K-Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-981-15-1611-5_10

zbMATH Keywords

elementary symplectic Witt groupsunimodular rows and their orbit spacesVaserstein symbol

Mathematics Subject Classification ID

Projective and free modules and ideals in commutative rings (13C10) Witt vectors and related rings (13F35) Stability for linear groups (19B14)

Related Items (1)

Two lives: compositions of unimodular rows

Cites Work

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• On stably free modules over affine algebras
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• Solution of the congruence subgroup problem for \(\text{SL}_ n\) \((n\geq 3)\) and \(\text{Sp}_{2n}\) \((n\geq 2)\)
• The group of units on an affine variety
• Smooth Models of Motivic Spheres and the Clutching Construction
• The Vaserstein symbol on real smooth affine threefolds
• Splitting vector bundles outside the stable range and 𝔸¹-homotopy sheaves of punctured affine spaces
• ON THE STABILIZATION OF THE GENERAL LINEAR GROUP OVER A RING
• \(\mathbb{A}^1\)-homotopy theory of schemes

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