This is somewhat of a follow-up to this question.
Take $X= \mathbb{P}^1, G = \operatorname{GL}(2)$. Compute the minimal polynomial of the operator $\mathcal{O}(1)\otimes -$ on $K_G(X)$.
How does one do this?
2026-03-25 20:42:26.1774471346
Minimal polynomial of $\mathcal{O}(1)\otimes -$-operator
49 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in ALGEBRAIC-GEOMETRY
- How to see line bundle on $\mathbb P^1$ intuitively?
- Jacobson radical = nilradical iff every open set of $\text{Spec}A$ contains a closed point.
- Is $ X \to \mathrm{CH}^i (X) $ covariant or contravariant?
- An irreducible $k$-scheme of finite type is "geometrically equidimensional".
- Global section of line bundle of degree 0
- Is there a variant of the implicit function theorem covering a branch of a curve around a singular point?
- Singular points of a curve
- Find Canonical equation of a Hyperbola
- Picard group of a fibration
- Finding a quartic with some prescribed multiplicities
Related Questions in GROUP-ACTIONS
- Orbit counting lemma hexagon
- Showing a group G acts on itself by right multiplication
- $N\trianglelefteq G$, $A$ a conjugacy class in $G$ such that $A\subseteq N$, prove $A$ is a union of conjugacy classes
- Show that the additive group $\mathbb{Z}$ acts on itself by $xy = x+y$ and find all $x\in\mathbb{Z}$ such that $xy = y$ for all $y\in\mathbb{Z}$.
- Number of different k-coloring of an $n\times m$ grid up to rows and columns permutations
- How to embed $F_q^\times $ in $S_n$?
- orbit representatives for the group of unipotent matrix acting on the set of skew-symmetric matrices
- $S_n$ right-action on $V^{\otimes n}$
- Interpretation of wreath products in general and on symmetric groups
- Regarding action of a group factoring through
Related Questions in MINIMAL-POLYNOMIALS
- Minimal polynomial of $f(A) = A^t$
- Minimal polynomial of $ab$, when those of $a$ and $b$ are known
- Finding the minimal polynomial of $uv$, when those of $u$ and $v$ are given and of degree three
- Jordan chevaley decomposition and cyclic vectors
- A field extension of degree $\leq 2$
- For a non diagnolizable Matrix $A_{n\times n}$ exists a non zero polynomial $p(t)$ of degree $< n$ s.t. $(p(A))^2=0$
- minimal polynomial, $E_p=\cos\frac{2\pi}{p} + i\sin\frac{2\pi}{p}$
- Minimal polynomial of $\sqrt{3}$ over $\Bbb{Q}(\sqrt[6]{3})$
- Irreducibility of $f(x)=x^4+4x-1$
- Jordan forms associated with characteristic polynomials and minimal polynomials
Related Questions in ALGEBRAIC-K-THEORY
- Compute Thom and Euler class
- Rational points on conics over fields of dimension 1
- An immediate result of fundamental theorem of algebraic $K$-theory.
- Algebraic $K_2$ as "universal receptacle"?
- trying to understand the connecting homomorphism between K theory groups
- Are these two definitions stably isomorphic modules / $K_0(A)$ equivalent?
- Motivation of $G_0$ group
- Degreewise cofibration in $S_nC$
- Definition of algebraic K-theory space
- Nerve of a simplicial category
Related Questions in EQUIVARIANT-COHOMOLOGY
- Reference request: Representability of multiplicative equivariant cohomology theories
- Interpretation of Borel equivariant cohomology.
- Reference Request: Spectral Sequence Relating Bredon and Borel Equivariant Cohomology.
- What is meant by the symbol $\mathbb{R}^2_{\hbar}$?
- What are some good references to learn about equivariant homotopy theory?
- What's the definition of weight in localization theorem?
- What is the $S^1$-equivariant cup product on $S^2$?
- S1 equivariant forms
- Singular cohomology of complex projective space
- Explanation for a line from a MathOverflow answer
Trending Questions
- Induction on the number of equations
- How to convince a math teacher of this simple and obvious fact?
- Find $E[XY|Y+Z=1 ]$
- Refuting the Anti-Cantor Cranks
- What are imaginary numbers?
- Determine the adjoint of $\tilde Q(x)$ for $\tilde Q(x)u:=(Qu)(x)$ where $Q:U→L^2(Ω,ℝ^d$ is a Hilbert-Schmidt operator and $U$ is a Hilbert space
- Why does this innovative method of subtraction from a third grader always work?
- How do we know that the number $1$ is not equal to the number $-1$?
- What are the Implications of having VΩ as a model for a theory?
- Defining a Galois Field based on primitive element versus polynomial?
- Can't find the relationship between two columns of numbers. Please Help
- Is computer science a branch of mathematics?
- Is there a bijection of $\mathbb{R}^n$ with itself such that the forward map is connected but the inverse is not?
- Identification of a quadrilateral as a trapezoid, rectangle, or square
- Generator of inertia group in function field extension
Popular # Hahtags
second-order-logic
numerical-methods
puzzle
logic
probability
number-theory
winding-number
real-analysis
integration
calculus
complex-analysis
sequences-and-series
proof-writing
set-theory
functions
homotopy-theory
elementary-number-theory
ordinary-differential-equations
circles
derivatives
game-theory
definite-integrals
elementary-set-theory
limits
multivariable-calculus
geometry
algebraic-number-theory
proof-verification
partial-derivative
algebra-precalculus
Popular Questions
- What is the integral of 1/x?
- How many squares actually ARE in this picture? Is this a trick question with no right answer?
- Is a matrix multiplied with its transpose something special?
- What is the difference between independent and mutually exclusive events?
- Visually stunning math concepts which are easy to explain
- taylor series of $\ln(1+x)$?
- How to tell if a set of vectors spans a space?
- Calculus question taking derivative to find horizontal tangent line
- How to determine if a function is one-to-one?
- Determine if vectors are linearly independent
- What does it mean to have a determinant equal to zero?
- Is this Batman equation for real?
- How to find perpendicular vector to another vector?
- How to find mean and median from histogram
- How many sides does a circle have?