User gualterio

6 answers

14 votes

2k views

9 bookmarks

Any shortcuts to understanding the properties of the Riemannian manifolds which are used in the books on algebraic topology

Jan 6 '21 at 6:44

2 answers

8 votes

496 views

1 bookmarks

A very elementary question on the definition of sheaf on a site

ct.category-theory sheaf-theory etale-cohomology

Nov 30 '20 at 13:13

0 answers

7 votes

240 views

2 bookmarks

A diagram in the proof of Theorem 2.5.5 of 'Cohomology of Number Fields' and the Tate Spectral Sequence

reference-request algebraic-number-theory spectral-sequences galois-cohomology

Sep 4 '19 at 10:21

0 answers

5 votes

238 views

1 bookmarks

Modern reference for Andre Weil's 'Sur les courbes algébriques et les variétés qui s'en déduisent'

ag.algebraic-geometry nt.number-theory reference-request algebraic-number-theory algebraic-curves

Mar 23 '20 at 3:13

1 answers

5 votes

451 views

A question on the injectivity of a canonical map between galois cohomology groups

nt.number-theory algebraic-number-theory galois-cohomology

May 19 '18 at 6:27

1 answers

4 votes

180 views

1 bookmarks

What is the $p$-regular partition corresponding to the sign representation of $S_{n}$ over a field of characteristic $p$?

gr.group-theory rt.representation-theory ra.rings-and-algebras symmetric-groups partitions

Apr 2 at 17:25

1 answers

4 votes

425 views

1 bookmarks

I want to know the name of or any references for a matrix in the book "The representation theory of the symmetric groups" by Gordon James

reference-request co.combinatorics rt.representation-theory terminology symmetric-groups

Oct 7 '20 at 6:24

1 answers

4 votes

367 views

Elementary proof that a central simple algebra over a field having a maximal subfield is a cyclic algebra

brauer-groups associative-algebras central-simple-algebras

Jun 14 '18 at 8:31

0 answers

3 votes

73 views

Study of relative class number of 'non-abelian' CM field by using L-functions

nt.number-theory reference-request algebraic-number-theory l-functions computational-number-theory

Jun 13 at 14:41

2 answers

3 votes

267 views

Is there any simple formula for the character of $S_{n}$ represented by the set of $k$-tuples of $\{1,2,...,n\}$?

reference-request gr.group-theory rt.representation-theory ra.rings-and-algebras symmetric-groups

Apr 13 at 16:32

0 answers

3 votes

91 views

Reference for the Netto's theorem on the permutation groups which was mentioned in the paper of Frobenius

reference-request gr.group-theory rt.representation-theory ho.history-overview symmetric-groups

Mar 9 at 15:33

3 answers

3 votes

685 views

Using Axiom of Replacement to construct the set of sets that are indexed by a set

ct.category-theory set-theory

Dec 19 '20 at 12:05

0 answers

3 votes

74 views

I have a question on the definition of 'good' primes in the paper of Cohen and Martinet

nt.number-theory algebraic-number-theory computational-number-theory heuristics

Sep 3 '20 at 10:16

1 answers

3 votes

153 views

English reference for the Brauer-Kuroda formula

nt.number-theory reference-request algebraic-number-theory l-functions translation

May 14 '20 at 15:35

1 answers

3 votes

183 views

1 bookmarks

How can we justify the use of Example 5,4 (of Cohen, Lenstra) assuming their heuristics

algebraic-number-theory computational-number-theory heuristics

Sep 16 '19 at 2:21

0 answers

3 votes

150 views

I want a elaboration of the sketch of proof given in the Serre's Galois Cohomology on the existence of the dualizing module

nt.number-theory algebraic-number-theory galois-cohomology duality

Dec 5 '18 at 2:44

0 answers

3 votes

223 views

The closed subgroup of the idele corresponding to the maximal elementary $p$-extension of a global field

algebraic-number-theory topological-groups class-field-theory

Jun 16 '18 at 19:25

0 answers

2 votes

86 views

Is there any good reference on the Bayesian view that can be helpful for reading papers on the number theory using heuristic arguments?

nt.number-theory reference-request algebraic-number-theory bayesian-probability heuristics

Jul 2 '20 at 14:19

1 answers

2 votes

502 views

Motivation to study the order theory (ring theory)

nt.number-theory ac.commutative-algebra ra.rings-and-algebras algebraic-number-theory

Jul 22 '19 at 8:48

1 answers

1 votes

135 views

1 bookmarks

Valuation theory on semisimple algebras used in the paper of Cohen-Martinet: reference request

reference-request ac.commutative-algebra ra.rings-and-algebras algebraic-number-theory valuation-theory

Nov 13 '19 at 7:08

0 answers

1 votes

200 views

Is there any research on the action of a subgroup on the whole finite group by conjugation?

reference-request gr.group-theory rt.representation-theory finite-groups symmetric-groups

Dec 26 '20 at 10:30

0 answers

1 votes

81 views

Is there any English reference for the paper 'Darstellungstheorie von Schur-Algebren' written by Fredrich Roesler?

reference-request rt.representation-theory ra.rings-and-algebras

Dec 12 '20 at 9:15

0 answers

1 votes

60 views

1 bookmarks

The completion of a ray class field

algebraic-number-theory class-field-theory

Sep 4 '19 at 9:12

0 answers

1 votes

127 views

1 bookmarks

The Iwasawa $\lambda$-invariant of the cyclotomic $\mathbb{Z}_3$-extension of $\mathbb{Q}(\sqrt{-3})$

reference-request algebraic-number-theory iwasawa-theory

Jan 16 '19 at 7:45

1 answers

1 votes

324 views

1 bookmarks

A question on a proof in the Ralph Greenberg's paper "On a Certain l-Adic Representation"

nt.number-theory algebraic-number-theory iwasawa-theory

Jul 2 '18 at 0:54

1 answers

1 votes

161 views

references on group representation over local fields / a question on an argument of a Ralph Greenberg's paper

reference-request rt.representation-theory algebraic-number-theory iwasawa-theory

Aug 13 '18 at 5:01

0 answers

0 votes

143 views

Is there a roadmap to learning representation theory of finite group over finite field?

reference-request rt.representation-theory ra.rings-and-algebras modular-representation-theory

May 11 at 6:47

0 answers

0 votes

110 views

Request for a modern Reference for Frobenius' paper "Über die Charaktere der mehrfach transitiven Gruppen"

reference-request gr.group-theory rt.representation-theory permutation-groups

Feb 1 '21 at 9:34

1 answers

0 votes

206 views

1 bookmarks

If two monic polynomials of $\mathbb{Z}_p[X]$ (p-adic integer coefficient) are relatively prime modulo p, then do they generate $\mathbb{Z}_p[X]$?

ra.rings-and-algebras polynomials p-adic-numbers

Aug 1 '19 at 4:20

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