A character formula for a family of simple modular by Mathieu O., Papadopoulo G.

By Mathieu O., Papadopoulo G.

Permit okay be an algebraically closed box of finite attribute p, and allow be an integer. within the paper, we supply a personality formulation for all basic rational representations of with optimum weight any a number of of any basic weight. Our formulation is a bit of extra basic: say dominant weight λ is specific if there are integers such that and . certainly, we compute the nature of any basic module whose optimum weight λ could be written as with any are certain. by means of stabilization, we get a personality formulation for a family members of irreducible rational -modules.

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E Click OK to save your selection and return to the Data Editor. Figure 4-5 Variable Type dialog box Defining Data In addition to defining data types, you can also define descriptive variable labels and value labels for variable names and data values. These descriptive labels are used in statistical reports and charts. 46 Chapter 4 Adding Variable Labels Labels are meant to provide descriptions of variables. These descriptions are often longer versions of variable names. Labels can be up to 255 bytes.

E In the marital column, type 0. E In the income column, type 153000. Currently, the age and marital columns display decimal points, even though their values are intended to be integers. To hide the decimal points in these variables: E Click the Variable View tab at the bottom of the Data Editor window. E In the Decimals column of the age row, type 0 to hide the decimal. 44 Chapter 4 E In the Decimals column of the marital row, type 0 to hide the decimal. Figure 4-3 Updated decimal property for age and marital Entering String Data Non-numeric data, such as strings of text, can also be entered into the Data Editor.

The response to each question on a survey is equivalent to a variable. Variables come in many different types, including numbers, strings, currency, and dates. Entering Numeric Data Data can be entered into the Data Editor, which may be useful for small data files or for making minor edits to larger data files. E Click the Variable View tab at the bottom of the Data Editor window. You need to define the variables that will be used. In this case, only three variables are needed: age, marital status, and income.

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