लघुकरणीय इसके अंग्रेजी अर्थ का उदाहरण

GP1) For any irreducible admissible representation π of G the dimension of HomK(π, C) is less than or equal to 1.

Let f : X\to Y be a dominant morphism of finite type with X, Y locally noetherian, irreducible and Y normal.

In the case of the algebraic integers there are no irreducible elements at all, since for any algebraic integer its square root (for instance) is also an algebraic integer.

H_{g,i} is an irreducible component of S^* H_g \setminus H_g^o,.

For each absolutely irreducible polynomial f\in K[T_1,T_2,\cdots ,T_r,X] with \frac{\partial f}{\partial X}\not 0 and for each nonzero g\in K[T_1,T_2,\cdots ,T_r] there exists (\textbf{a},b)\in K^{r+1} such that f(\textbf{a},b)0 and g(\textbf{a})\not 0.

Indeed, to know all the irreducible representations of G is equivalent to know the decomposition of the space of functions on G as a G "times; G representation.

Almost any irreducible representation is generic.

This curve has self-intersection number −n, and is the only irreducible curve with negative self intersection number.

If a Markov chain is irreducible then it has a stationary distribution if and only if it is positive recurrent, in which case the unique such distribution is given by \pi_i\frac{1}{M_i} where M_i\mathbb{E}(T_i) is the mean recurrence time of i.

Specifically, they are an important tool in the hard part of the theorem of the highest weight, namely showing that every dominant integral element actually arises as the highest weight of a finite-dimensional irreducible representation of \mathfrak{g}.

Consequently, an irreducible ideal of a Noetherian ring is primary.

The nilpotent cone is an irreducible subvariety of \mathfrak{g} (considered as a vector space).