Found 723 Documents (Results 1–100)
On the presentation of the Grothendieck-Witt group of symmetric bilinear forms over local rings. (English) Zbl 07855997
Reviewer: Adam Chapman (Tel Hai)
Retraction notice to: “Monogenic bialgebras over finite fields and rings of Witt vectors”. (English) Zbl 1537.16040
Relative unimodular rows over polynomial rings. (English) Zbl 1540.13020
Reviewer: Wilberd van der Kallen (Utrecht)
Quadric bundles and hyperbolic equivalence. (English) Zbl 07851053
MSC:
14D06
A refined scissors congruence group and the third homology of \(\operatorname{SL}_2\). (English) Zbl 07808759
Reviewer: Atabey Kaygun (İstanbul)
Fields with bounded Brauer 2-torsion index. (English) Zbl 07802415
Reviewer: Stefan Gille (Edmonton)
Uniqueness of an association scheme related to the Witt design on 11 points. (English) Zbl 1531.05248
Reviewer: Sam Mattheus (Brussel)
Applications of Swan’s Bertini theorem to unimodular rows. (English) Zbl 1528.13007
Reviewer: Rabeya Basu (Pune)
A bound on the index of exponent-4 algebras in terms of the \(u\)-invariant. (English) Zbl 1541.12001
Reviewer: Adam Chapman (Tel Hai)
Chain lemma, quadratic forms and symbol length. (English) Zbl 1539.16007
Reviewer: Ivan D. Chipchakov (Sofia)
Pfister forms in the algebraic and geometric theory of quadratic forms. (English) Zbl 07780303
Reviewer: Uriya A. First (Vancouver)
Are inertial vacua equivalent in Lorentz-violating theories? Does it matter? (English) Zbl 1535.81172
Varieties of Borel subalgebras for the Jacobson-Witt Lie algebras. (English) Zbl 1536.17028
Reviewer: Jörg Feldvoss (Mobile)
A note on relative Vaserstein symbol. (English) Zbl 1529.13010
Reviewer: Moshe Roitman (Haifa)
The socle of the group algebra of a finite \(p\)-group. (English) Zbl 1530.20036
Reviewer: Robert W. van der Waall (Huizen)
Canonical Witt formal scheme extensions and \(p\)-torsion groups. (English) Zbl 1533.13019
Reviewer: Xiao Xiao (Utica)
Iwasawa theory for \(p\)-torsion class group schemes in characteristic \(p\). (English) Zbl 1535.11091
Classification of simple bounded weight modules of the Lie algebra of vector fields on \(\mathbb{C}^n\). (English) Zbl 1512.17042
Reviewer: Mee Seong Im (Annapolis)
MSC:
17B66
A computational approach to Brauer Witt theorem using Shoda pair theory. (English) Zbl 1521.16017
Reviewer: Ivan D. Chipchakov (Sofia)
Nonstandard quadratic forms over rational function fields. (English) Zbl 1514.11026
Reviewer: Adam Chapman (Tel Hai)
Gaitsgory’s central functor and the Arkhipov-Bezrukavnikov equivalence in mixed characteristic. arXiv:2311.04043
Preprint, arXiv:2311.04043 [math.NT] (2023).
Twisted Blanchfield pairings and twisted signatures. I: Algebraic background. (English) Zbl 1517.57004
Reviewer: Leila Ben Abdelghani (Monastir)
Motivic cohomology of fat points in Milnor range via formal and rigid geometries. (English) Zbl 1509.14051
Borel subalgebras of restricted Cartan-type Lie algebras. (English) Zbl 1536.17027
Reviewer: Jörg Feldvoss (Mobile)
The Witt classes of \(\mathfrak{so}(2r)_{2r}\). (English) Zbl 1502.18036
Reviewer: Robert Coquereaux (Marseille)
On weakly complete universal enveloping algebras: a Poincaré-Birkhoff-Witt theorem. (English) Zbl 1511.17027
Witt vectors, polynomial maps, and real topological Hochschild homology. (English. French summary) Zbl 1502.18011
Compactly supported \(\mathbb{A}^1\)-Euler characteristic and the Hochschild complex. (English) Zbl 1494.14020
Reviewer: Oliver Röndigs (Osnabrück)
Higher central charges and Witt groups. (English) Zbl 1496.18019
Reviewer: Mateusz Stroiński (Uppsala)
Grothendieck-Serre in the quasi-split unramified case. (English) Zbl 1492.14081
Reviewer: Uriya A. First (Vancouver)
Completion of skew completable unimodular rows. (English) Zbl 1484.13026
Reviewer: Wilberd van der Kallen (Utrecht)
Maximum generalized Hasse-Witt invariants and their applications to anabelian geometry. (English) Zbl 1520.14061
Extending \(p\)-divisible groups and Barsotti-Tate deformation ring in the relative case. (English) Zbl 1483.14083
Springer’s odd degree extension theorem for quadratic forms over semilocal rings. (English) Zbl 1485.11077
Reviewer: Detlev Hoffmann (Dortmund)
Linkage of sets of quaternion algebras in characteristic 2. (English) Zbl 1487.16025
Reviewer: Detlev Hoffmann (Dortmund)
Raynaud-Tamagawa theta divisors and new-ordinariness of ramified coverings of curves. (English) Zbl 1484.14065
Reviewer: Rodolfo Aguilar Aguilar (Sofia)
Congruence and metaplectic covariance: rational biquadratic reciprocity and quantum entanglement. (English) Zbl 1488.11171
Maximality of orders in Dedekind domains. II. (English) Zbl 1488.16042
Reviewer: Ivan D. Chipchakov (Sofia)
The Picard group of an order and Külshammer reduction. (English) Zbl 1489.20006
Reviewer: Burkhard Külshammer (Jena)
Verbal width in the Nottingham group and related Lie algebras. (English) Zbl 1472.20063
Reviewer: Francesco G. Russo (Rondebosch)
Some versions of the \(u\)-invariant of a field. (English) Zbl 1454.11065
Reviewer: Adam Chapman (Tel Hai)
On completion of unimodular rows over polynomial extension of finitely generated rings over \(\mathbb{Z}\). (English) Zbl 1448.13019
Reviewer: Moshe Roitman (Haifa)
Iterated Laurent series over rings and the Contou-Carrère symbol. (English. Russian original) Zbl 1457.19005
Russ. Math. Surv. 75, No. 6, 995-1066 (2020); translation from Usp. Mat. Nauk 75, No. 6, 3-84 (2020).
Reviewer: Wilberd van der Kallen (Utrecht)
Prime decomposition of modular tensor categories of local modules of type D. (English) Zbl 1480.18015
Reviewer: Fei Qi (Winnipeg)
Greenberg algebras and ramified Witt vectors. (English. French summary) Zbl 1460.13034
Automorphisms of even unimodular lattices and equivariant Witt groups. (English) Zbl 1458.11111
Reviewer: Adam Chapman (Tel Hai)
Complete and computable orbit invariants in the geometry of the affine group over the integers. (English) Zbl 1442.13016
Reviewer: Nan Ji-Zhu (Dalian)
The Tambara structure of the trace ideal for cyclic extensions. With an appendix by Harry Chen and Xinling Chen. (English) Zbl 1479.19001
Reviewer: Adam Chapman (Tel Hai)
A Hermitian analog of a quadratic form theorem of Springer. (English) Zbl 1452.11039
Reviewer: Adam Chapman (Tel Hai)
The quotient unimodular vector group is nilpotent. (English) Zbl 1436.13020
Ambily, A. A. (ed.) et al., Leavitt path algebras and classical \(K\)-theory. Based on the international workshop on Leavitt path algebras and \(K\)-theory, Kerala, India, July 1–3, 2017. Singapore: Springer. Indian Stat. Inst. Ser., 225-240 (2020).
Symplectic linearization of an alternating polynomial matrix. (English) Zbl 1442.13024
Ambily, A. A. (ed.) et al., Leavitt path algebras and classical \(K\)-theory. Based on the international workshop on Leavitt path algebras and \(K\)-theory, Kerala, India, July 1–3, 2017. Singapore: Springer. Indian Stat. Inst. Ser., 179-182 (2020).
Field of iterated Laurent series and its Brauer group. (English) Zbl 1452.16020
Reviewer: Ivan D. Chipchakov (Sofia)
\(K\)-theory in algebra, analysis and topology. ICM 2018 satellite school and workshop, La Plata and Buenos Aires, Argentina, July 16–20 and July 23–27, 2018. (English) Zbl 1441.19002
Contemporary Mathematics 749. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5026-7/pbk; 978-1-4704-5594-1/ebook). vii, 398 p. (2020).
On the averages of generalized Hasse-Witt invariants of pointed stable curves in positive characteristic. (English) Zbl 1453.14084
Normality of DSER elementary orthogonal group. (English) Zbl 1450.11034
Reviewer: Adam Chapman (Tel Hai)
Orbit closures of the Witt group actions. (English. Russian original) Zbl 1442.14148
Proc. Steklov Inst. Math. 307, 193-197 (2019); translation from Tr. Mat. Inst. Steklova 307, 212-216 (2019).
Hochschild-Pirashvili homology on suspensions and representations of \(\mathrm{Out}(F_n)\). (English. French summary) Zbl 1435.55005
Reviewer: Steffen Sagave (Nijmegen)
Higher Gauss sums of modular categories. (English) Zbl 1430.18015
Reviewer: Robert McRae (Nashville)
Witt groups of smooth projective quadrics. (English) Zbl 1426.19005
Reviewer: Mohamed Elhamdadi (Tampa)
MSC:
19G12
The \(u^n\)-invariant and the symbol length of \(H_2^n(F)\). (English) Zbl 1416.11057
Reviewer: Detlev Hoffmann (Dortmund)
Arason’s filtration of the Witt group of dyadic valued fields. (English) Zbl 1426.11038
Reviewer: Andrew Dolphin (Antwerpen)
MSC:
11E81
Duality for relative logarithmic de Rham-Witt sheaves on semistable schemes over \(\mathbb F_q[[t]]\). (English) Zbl 1423.14138
Signatures, sums of Hermitian squares and positive cones on algebras with involution. (English) Zbl 1423.16018
Odd orthogonal matrices and the non-injectivity of the Vaserstein symbol. (English) Zbl 1393.13023
Reviewer: L. N. Vaserstein (University Park)
MSC:
13C10
Weakly hyperbolic involutions. (English) Zbl 1441.11073
Transfer of the unitary \(K_1\)-functor under polynomial extensions. (English. Russian original) Zbl 1388.19001
St. Petersbg. Math. J. 29, No. 3, 447-467 (2018); translation from Algebra Anal. 29, No. 3, 34-60 (2017).
On the homology groups of the Brauer complex for a triquadratic field extension. (English) Zbl 1441.11079
The behavior of differential, quadratic and bilinear forms under purely inseparable field extensions. (English) Zbl 1390.11077
Reviewer: Adam Chapman (Upper Galilee)
On rational points of certain affine hypersurfaces. (English) Zbl 1441.11071
Reviewer: Detlev Hoffmann (Dortmund)
The strongly regular graph with parameters \((100,22,0,6)\): hidden history and beyond. (English) Zbl 1430.05137
Reviewer: Michael Barany (Edinburgh)
Stability index of algebras with involution. (English) Zbl 1386.16009
Broglia, Fabrizio (ed.) et al., Ordered algebraic structures and related topics. International conference at CIRM, Luminy, France, October 12–16, 2015. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2966-9/pbk; 978-1-4704-4222-4/ebook). Contemporary Mathematics 697, 41-50 (2017).
Corrigendum to: “On the Cartier duality of certain finite group schemes of order \(p^n\). II.”. (English) Zbl 1453.14115
Euler class groups and the homology of elementary and special linear groups. (English) Zbl 1387.19002
Reviewer: Wilberd van der Kallen (Utrecht)
The universal deformation of the Witt ring scheme. (English. Russian original) Zbl 1388.13045
Sb. Math. 208, No. 6, 764-790 (2017); translation from Mat. Sb. 208, No. 6, 26-54 (2017).
Reviewer: Alan Koch (Decatur)
Tori associated to a quartic étale algebra. (Tores associés à une algèbre étale quartique.) (French) Zbl 1426.11037
Lubin’s conjecture for full \(p\)-adic dynamical systems. (English. French summary) Zbl 1429.11208
Algèbre et théorie des nombres 2016. Besançon: Presses Universitaires de Franche-Comté. Publ. Math. Besançon, Algèbre Théor. Nombres 2016, 19-24 (2017).
Reviewer: Lawrence C. Washington (College Park)
Classification of \(\mathfrak{sl}_3\) relations in the Witt group of nondegenerate braided fusion categories. (English) Zbl 1374.18014
Reviewer: Robert McRae (Nashville)
Cohomological operations for the Brauer group and Witt kernels of a quartic field extension. (English) Zbl 1426.11021
Longitudes in \(\mathrm{SL}_2\) representations of link groups and Milnor-Witt \(K_2\)-groups of fields. (English) Zbl 1454.19002
Low-dimensional Milnor-Witt stems over \(\mathbb R\). (English) Zbl 1400.14064
Reviewer: Oliver Röndigs (Osnabrück) (MR3590344)
Study and computation of generalized Grothendieck-Witt group. (Chinese. English summary) Zbl 1374.57009
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